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Class 10 - Geometry - Circle - Solved Exercises and Theorem Proofs | vedanta Excel in Mathematics
Circle

Class 10 - Geometry - Circle - Solved Exercises and Theorem Proofs | vedanta Excel in Mathematics

Geometry is the easiest portion of Mathematics in Class 10, if you exclude the out theorem which comes for 5 marks. Other questions are very easy to tackle and aren't much tricky. Geometry is asked in all Groups i.e. Group A, Group B, Group C, and Group D. In Group A, it is asked for 1 mark (1 …

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In the adjoining figure, it is given that AD//BC and BC//CE. Prove that, area of triangle.ABC = area of triangle.BDE. | Geometry | SciPiPupil
Geometry

In the adjoining figure, it is given that AD//BC and BC//CE. Prove that, area of triangle.ABC = area of triangle.BDE. | Geometry | SciPiPupil

Overview : This is a class 10 Geometry Question of Compulsory Mathematics book Class 10 taken from the chapter - Area of Triangles and Quadrilaterals. Question: In the adjoining figure, it is given that AD//BC and BC//CE. Prove that, area of triangle.ABC = area of triangle.BDE. Explanation:…

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In the adjoining parallelogram ABCD, A is joined to any point E on BC. AE and DC produced meet at E. Prove that, area of triangle.BEF = area of triangle.CDE. | Geometry | SciPiPupil
Geometry

In the adjoining parallelogram ABCD, A is joined to any point E on BC. AE and DC produced meet at E. Prove that, area of triangle.BEF = area of triangle.CDE. | Geometry | SciPiPupil

Overview : This is a class 10 Geometry Question of Compulsory Mathematics book Class 10 taken from the chapter - Area of Triangles and Quadrilaterals. Question: In the adjoining parallelogram ABCD, A is joined to any point E on BC. AE and DC produced meet at E. Prove that, area of triangle.BEF = area of triangle.CDE. Correction : In…

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In the given triangle ABC, two medians BE and CD are intersecting at O. Prove that, area of triangle BOC = area of quadrilateral ADOE. | Geometry | SciPiPupil
Geometry

In the given triangle ABC, two medians BE and CD are intersecting at O. Prove that, area of triangle BOC = area of quadrilateral ADOE. | Geometry | SciPiPupil

Overview : This is a class 10 Geometry Question of Compulsory Mathematics book Class 10 taken from the chapter - Area of Triangles and Quadrilaterals. Question: In the given triangle ABC, two medians BE and CD are intersecting at O. Prove that, area of triangle BOC = area of quadrilateral ADOE. Explanation: We have used some p…

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The line drawn through the vertex C of the quadrilateral ABCD parallel to the diagonal DB meets AB produced at E. Prove that, area of quad. ABCD = area of triangle DAE. | Geometry | SciPiPupil
Geometry

The line drawn through the vertex C of the quadrilateral ABCD parallel to the diagonal DB meets AB produced at E. Prove that, area of quad. ABCD = area of triangle DAE. | Geometry | SciPiPupil

Overview : This is a class 10 Geometry Question of Compulsory Mathematics book Class 10 taken from the chapter - Area of Triangles and Quadrilaterals. Question: The line drawn through the vertex C of the quadrilateral ABCD parallel to the diagonal DB meets AB produced at E. Prove that, area of quad. ABCD = area of triangle DAE. …

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In the given figure, P is the mid-point of AB and Q is any point on the side BC. CR meets AB at R and CR//PQ. Prove that, area of triangle BQR = 1/2 area of triangle ABC. | Geometry | SciPiPupil
Geometry

In the given figure, P is the mid-point of AB and Q is any point on the side BC. CR meets AB at R and CR//PQ. Prove that, area of triangle BQR = 1/2 area of triangle ABC. | Geometry | SciPiPupil

Overview : This is a class 10 Geometry Question of Compulsory Mathematics book Class 10 taken from the chapter - Area of Triangles and Quadrilaterals. Question: In the given figure, P is the mid-point of AB and Q is any point on the side BC. CR meets AB at R and CR//PQ. Prove that, area of triangle BQR = 1/2 area of triangle ABC. …

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In the given figure, DE//BC. Prove that: (i) triangle BOD = triangle COE and (ii) triangle BAE = triangle CAD. | Geometry | SciPIPupil
Geometry

In the given figure, DE//BC. Prove that: (i) triangle BOD = triangle COE and (ii) triangle BAE = triangle CAD. | Geometry | SciPIPupil

Overview : This is a class 10 Geometry Question of Compulsory Mathematics book Class 10 taken from the chapter - Area of Triangles and Quadrilaterals. Question: In the given figure, DE//BC. Prove that: (i) triangle BOD = triangle COE and (ii) triangle BAE = triangle CAD. Explanation: We have used some previously proven theorem…

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In the figure, PQRS is a parallelogram. Q and S are joined to any point M on the diagonal PR. Prove that, area of triangle.PQM = area of triangle.PSM. | Geometry | SciPiPupil
Geometry

In the figure, PQRS is a parallelogram. Q and S are joined to any point M on the diagonal PR. Prove that, area of triangle.PQM = area of triangle.PSM. | Geometry | SciPiPupil

Overview : This is a class 10 Geometry Question of Compulsory Mathematics book Class 10 taken from the chapter - Area of Triangles and Quadrilaterals. Question: In the figure, PQRS is a parallelogram. Q and S are joined to any point M on the diagonal PR. Prove that, area of triangle.PQM = area of triangle.PSM. Explanation: We …

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In the given triangle ABC, P is any point on the median AD. Prove that triangle APB = triangle APC. | Geometry | SciPiPupil
Geometry

In the given triangle ABC, P is any point on the median AD. Prove that triangle APB = triangle APC. | Geometry | SciPiPupil

Overview : This is a class 10 Geometry Question of Compulsory Mathematics book Class 10 taken from the chapter - Area of Triangles and Quadrilaterals. Question: In the given triangle ABC, P is any point on the median AD. Prove that triangle APB = triangle APC. Explanation: We have used som…

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In the given figure, if AB//DC//EF, AD//BE and AF//DE, prove that parm.DEFH = parm.ABCD. | Geometry | SciPiPupil
Geometry

In the given figure, if AB//DC//EF, AD//BE and AF//DE, prove that parm.DEFH = parm.ABCD. | Geometry | SciPiPupil

Overview : This is a class 10 Geometry Question of Compulsory Mathematics book Class 10 taken from the chapter - Area of Triangles and Quadrilaterals. Question: In the given figure, if AB//DC//EF, AD//BE and AF//DE, prove that parm.DEFH = parm.ABCD. Explanation: We have used some previously proven theorems of Area of Triangles…

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In the given diagram, ABCD and PQRD are two parallelograms. Prove that parm.ABCD = parm.PQRD. | Geometry | SciPiPupil
Geometry

In the given diagram, ABCD and PQRD are two parallelograms. Prove that parm.ABCD = parm.PQRD. | Geometry | SciPiPupil

Overview : This is a class 10 Geometry Question of Compulsory Mathematics book Class 10 taken from the chapter - Area of Triangles and Quadrilaterals. Question: In the given diagram, ABCD and PQRD are two parallelograms. Prove that parm.ABCD = parm.PQRD. Explanation: We have used some previously proven theorems of Area of Tri…

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In the given figure, ABCD is a parallelogram. If M and N are any points on CD and DA respectively, prove that triangle.AMB = triangle.CDN + triangle.ANB. | Geometry | SciPiPupil
Geometry

In the given figure, ABCD is a parallelogram. If M and N are any points on CD and DA respectively, prove that triangle.AMB = triangle.CDN + triangle.ANB. | Geometry | SciPiPupil

Overview : This is a class 10 Geometry Question of Compulsory Mathematics book Class 10 taken from the chapter - Area of Triangles and Quadrilaterals. Question: In the given figure, ABCD is a parallelogram. If M and N are any points on CD and DA respectively, prove that triangle.AMB = triangle.CDN + triangle.ANB. Explanation:…

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In the adjoining parallelogram ABCD, PQ//AB and RS//BC. Prove that area of parm.ROPA = area of parm.OCSO. | Geometry | SciPiPupil
Geometry

In the adjoining parallelogram ABCD, PQ//AB and RS//BC. Prove that area of parm.ROPA = area of parm.OCSO. | Geometry | SciPiPupil

Overview : This is a class 10 Geometry Question of Compulsory Mathematics book Class 10 taken from the chapter - Area of Triangles and Quadrilaterals. Question: In the adjoining parallelogram ABCD, PQ//AB and RS//BC. Prove that area of parallelogram.ROPA = area of parallelogram.OCSO. Explanation: We have used some previously …

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In the given figure, rectangle PQRS and parallelogram AQRB on the same base QR and between the same parallels PB and QR. Prove that (i) triangle.PQA is congruent to triangle.SRB and (ii) Area of rectangle PQRS = Area of rectangle AQRB. | Geometry | SciPiPupil
Geometry

In the given figure, rectangle PQRS and parallelogram AQRB on the same base QR and between the same parallels PB and QR. Prove that (i) triangle.PQA is congruent to triangle.SRB and (ii) Area of rectangle PQRS = Area of rectangle AQRB. | Geometry | SciPiPupil

Overview : This is a class 10 Geometry Question of Compulsory Mathematics book Class 10 taken from the chapter - Area of Triangles and Quadrilaterals. Question: In the given figure, rectangle PQRS and parallelogram AQRB on the same base QR and between the same parallels PB and QR. Prove that (i) triangle.PQA is congruent to triangle…

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In the given parallelogram ABCD, X and Y are any points on CD and AD respectively. Prove that, area of triangle.AXB = area of triangle.BYC. | Geometry | SciPiPupil
Geometry

In the given parallelogram ABCD, X and Y are any points on CD and AD respectively. Prove that, area of triangle.AXB = area of triangle.BYC. | Geometry | SciPiPupil

Overview : This is a class 10 Geometry Question of Compulsory Mathematics book Class 10 taken from the chapter - Area of Triangles and Quadrilaterals. Question: In the given parallelogram ABCD, X and Y are any points on CD and AD respectively. Prove that, area of triangle.AXB = area of triangle.BYC. Explanation: We have used s…

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In the given figure, triangle.ABC and parallelogram.MBCN are on the same base BC and between the same parallels MN and BC. Prove that, area of triangle.ABC = area of rectangle.APCN. | Geometry | SciPiPupil
Geometry

In the given figure, triangle.ABC and parallelogram.MBCN are on the same base BC and between the same parallels MN and BC. Prove that, area of triangle.ABC = area of rectangle.APCN. | Geometry | SciPiPupil

Overview : This is a class 10 Geometry Question of Compulsory Mathematics book Class 10 taken from the chapter - Area of Triangles and Quadrilaterals. Question: In the given figure, triangle.ABC and parallelogram.MBCN are on the same base BC and between the same parallels MN and BC. Prove that, area of triangle.ABC = area of rectang…

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In the adjoining figure, triangles AMB and ANB are standing on the same base AB and between the same parallel lines AB and MN. Prove that area of triangle.AOM = area of triangle.BON. | Geometry | SciPiPupil
Geometry

In the adjoining figure, triangles AMB and ANB are standing on the same base AB and between the same parallel lines AB and MN. Prove that area of triangle.AOM = area of triangle.BON. | Geometry | SciPiPupil

Overview : This is a class 10 Geometry Question of Compulsory Mathematics book Class 10 taken from the chapter - Area of Triangles and Quadrilaterals. Question: In the adjoining figure, triangles AMB and ANB are standing on the same base AB and between the same parallel lines AB and MN. Prove that area of triangle.AOM = area of tria…

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In the given figure, ABCD is a parallelogram. X is any point within it. Prove that the sum of the areas of traingle.XCD and triangle.XAB is equal to half of the area of parallelogram.ABCD. | Geometry | SciPiPupil
Geometry

In the given figure, ABCD is a parallelogram. X is any point within it. Prove that the sum of the areas of traingle.XCD and triangle.XAB is equal to half of the area of parallelogram.ABCD. | Geometry | SciPiPupil

Overview : This is a class 10 Geometry Question of Compulsory Mathematics book Class 10 taken from the chapter - Area of Triangles and Quadrilaterals. Question: In the given figure, ABCD is a parallelogram. X is any point within it. Prove that the sum of the areas of traingle.XCD and triangle.XAB is equal to half of the area of para…

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In the given figure, DX//AB. Prove that area of triangle.ABX = 1/2 area of parm.ABCD. | Geometry | SciPiPupil
Geometry

In the given figure, DX//AB. Prove that area of triangle.ABX = 1/2 area of parm.ABCD. | Geometry | SciPiPupil

Overview : This is a class 10 Geometry Question of Compulsory Mathematics book Class 10 taken from the chapter - Area of Triangles and Quadrilaterals. Question: In the given figure, DX//AB. Prove that area of triangle.ABX = 1/2 area of parallelogram.ABCD. Explanation: We have used two prev…

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In the figure alongside, QR//PS. Prove that ∆PQR is congruent to ∆QRS. | Geometry | SciPiPupil
Geometry

In the figure alongside, QR//PS. Prove that ∆PQR is congruent to ∆QRS. | Geometry | SciPiPupil

Overview : This is a class 10 Geometry Question of Compulsory Mathematics book Class 10 taken from the chapter - Area of Triangles and Quadrilaterals. Question: In the figure alongside, QR//PS. Prove that ∆PQR is equal to ∆QRS. Explanation: We have used two previously proven theorems o…

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