Two congruent circles with centered at (2, 3) and (5, 6) which intersect at right angles, have radius equal to (a)2 `sqrt(3)` (b) 3 (c) 4 (d) none of these

Two congruent circles with centered at (2, 3) and (5, 6) which intersect at right angles, have radius equal to (a)2 sqrt(3) (b) 3 (c) 4 (d) (d) none of these

If the circles of same radius a and centers at (2, 3) and (5, 6) cut orthogonally, then find a.

The value of 3^((log)_4 5)-5^((log)_4 3) is 0 (b) 1 (c) 2 (d) none of these

If sinx+cosx=(sqrt(7))/2, where x in 1s t quadrant, then tanx/2 is equal to (a) (3-sqrt(7))/3 (b) (sqrt(7)-2)/3 (c) (4-sqrt(7))/4 (d) none of these

The total number of solution of cosx=sqrt(1-sin2x) in [0,2pi] is equal to 2 (b) 3 (c) 5 (d) none of these

A B C is an isosceles triangle. If the coordinates of the base are B(1,3) and C(-2,7) , the coordinates of vertex A can be (a) (1,6) (b) (-1/2,5) (c) (5/6,6) (d) none of these

The parabola y^2=4x and the circle having its center at (6, 5) intersect at right angle. Then find the possible points of intersection of these curves.

The radius of the circle touching the parabola y^2=x at (1, 1) and having the directrix of y^2=x as its normal is (a)(5sqrt(5))/8 (b) (10sqrt(5))/3 (c)(5sqrt(5))/4 (d) none of these

If the curves y^2=6x , 9x^2+by^2=16 intersect each other at right angles then the value of b is: (1) 6 (2) 7/2 (3) 4 (4) 9/2

An ellipse having foci at (3, 3) and (-4,4) and passing through the origin has eccentricity equal to 3/7 (b) 2/7 (c) 5/7 (d) 3/5