The maximum number of points of intersection of five lines and four circles is (A) `60` (B) `72` (C) `62` (D) none of these

Find the maximum number of points of intersection of 6 circles.

Find the number of point of intersection of two straight lines .

Find the maximum number of points of intersection of 7 straight lines and 5 circles when 3 straight lines are parallel and 2 circles are concentric

There are three coplanar parallel lines. If any p points are taken on each of the lines, the maximum number of triangles with vertices on these points is a. 3p^2(p-1)+1 b. 3p^2(p-1) c. p^2(4p-3) d. none of these

The area of the triangle formed by joining the origin to the point of intersection of the line xsqrt(5)+2y=3sqrt(5) and the circle x^2+y^2=10 is (a)3 (b) 4 (c) 5 (d) 6

The number of integral values of m for which the x-coordinate of the point of intersection of the lines 3x+4y=9 and y=m x+1 is also an integer is (a)2 (b) 0 (c) 4 (d) 1

Tangents are drawn from external point P(6,8) to the circle x^2+y^2 =r^2 find the radius r of the circle such that area of triangle formed by the tangents and chord of contact is maximum is (A) 25 (B) 15 (C) 5 (D) none of these

Let C be a curve which is the locus of the point of intersection of lines x=2+m and m y=4-mdot A circle s-=(x-2)^2+(y+1)^2=25 intersects the curve C at four points: P ,Q ,R ,a n dS . If O is center of the curve C , then O P^2+O P^2+O R^2+O S^2 is 50 (b) 100 (c) 25 (d) (25)/2

The maximum number of tangents that can be drawn to a circle from a point outside it is…………

The equation of the locus of the middle point of a chord of the circle x^2+y^2=2(x+y) such that the pair of lines joining the origin to the point of intersection of the chord and the circle are equally inclined to the x-axis is x+y=2 (b) x-y=2 2x-y=1 (d) none of these