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 …

In this page, you can find the complete solutions of the second exercise of  Circle chapter from Basic Mathematics Grade XI book published and distributed by Sukunda Pustak Bhawan. In the above-mentioned book, circle is the 11th chapter and has two exercises on…

In this page, you can find the complete solutions of the first exercise of  Circle chapter from Basic Mathematics Grade XI book published and distributed by Sukunda Pustak Bhawan. In the above-mentioned book, circle is the 11th chapter and has two exercises only. Out of which, this is the solution of the first exercise…

Question: The sum of 3 numbers in an AS is 12 and the sum of their squares is 66. Find the numbers. Solution : Let the three numbers in AS be (a-d), a and (a +d). Given , $or, a - d + a + a +d = 12$ $or, 3a = 12$ $or, a = \frac{12}{3}$ $\therefore a = 4$ Also , $(a -d)^2 + a^2 + (a +d)^2 = 66$ Using (a -b)² + (a +b)² = 2(a²+b²) $or,…

What is the radius of a circle x² + y² + 4x + 8y -16 = 0 whose diameters are x + y = -6 and x - y = 2, respectively? a) 2 units b) 6 units c) 7 units d) 10 units Answer: b) 6 units Solution: Given, Equation of circle = $x^2 + y^2 + 4x + 8y - 16 = 0$ Comparing the given equation with general equation of circle, we get, $2gx = 4x$ $or…

Question: If one end of the diameter of a circle x² + y² -4x -6y +12 = 0 is (1,3), find the co-ordinates of the other end. Solution: Given equation of a circle is x² + y² - 4x - 6y + 12 = 0 Let AB be the diameter of that circle. Coordinates of point A (x1,y1) = (1,3). So, let the coordinates of the point B be (x2,y2). We have, Equat…

Question: Find the equation of the circle which passes through the point (5,8) and touches the straight lines x=1, x=9 and X-axis. Solution: In a circle, Passing point (x,y) = (5,8) It touches X-axis, and straight lines x = 1, and x = 9. Plotting the given information in a graph, we get, Di…

The line x - y = 0 cuts the circle x² + y² + 2x = 0 at two points A and B. Find the co-ordinates of the points A and B. Also, find the equation of a circle whose diameter is AB. Solution: Given, (i) x - y = 0 (ii) x² + y² + 2x = 0 Lines (i) and (ii) intersect each other at two points. Solving (i) x - y = 0 or, x = y (ii) x² + y² + 2…