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Circle chapter top 100 questions

Answer» Important 2 Marks Questions for Class 10 Maths Board are as follows-Question 1-\xa0Find the value of k for which the roots of the quadratic equation\xa02x2+kx+8=0, will have equal value.Question 2-\xa0Determine the AP whose third term is 5 and seventh term is 9.Question 3-\xa0If any point is equidistant from the points (a+b, b-a) and (a-b, a+b), prove that bx = ay.Question 4-\xa0If the line segment joining the points A(2,1) and B (5,-8) is trisected at the points P and Q, find the coordinates of P.Question 5-\xa0If, from an external point P of a circle with centre O, two tangents PA and PB are drawn such that\xa0∠BPA=120, then show that OP = 2PA.Question 6-\xa0Prove that the tangent drawn to a circle at the end points of a diameter are parallel to each other.Question 7-\xa0Find the value of p for which the numbers 2p-1, 3p+1, 11 are in A.P. Hence find the numbers.Question 8-\xa0Find the coordinates of the points of trisection of the line segment joining the points A (7,-2) and B (1,-5).Question 9-\xa0Find the coordinates of the point on x-axis, which is equidistant from the points (-2,5) and (2,-3).Question 10-\xa0A circle touches all the four sides of a quadrilateral ABCD. Prove thatAB + CD = BC + DAQuestion 11-\xa0Which term of the A.P. 8, 14, 20, 26, …….. Will be 72 more than its 41st term?Question 12-\xa0A line intersect the y-axis at the points P and Q respectively. If (2,-5) is the midpoint of PQ, then find the coordinates of P and Q.Question 13-\xa0Solve for x:\xa043–√x2+5x−23–√=0Question 14-\xa0Prove that the perpendicular drawn from the point of contact to the tnagent, passes through the centre of the circle.Question 15-\xa0Show that in two concentric circle, is bisected at the point of contact.Question 16-\xa0Find the ratio in which the point (-3,k) divides the line segment joining the points (-5,-4) and (-2,3). Hence find the value of k.Question 17-\xa0If the nth term of an A.P. is given by tn= 3n + 4, find the common difference of the A.P. and the sum of its first five terms.Question 18- In the figure below, the radius of incircle of\xa0ΔABC\xa0of area 84 cm2 is 4 cm and the lengths of the segment AP and BP into which side AB is divided by the point of contact are 6 cm and 8 cm. Find the lengths of the sides AC and BC.


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