The angle subtended by common tangents of two ellipses `4(x-4)^2+25 y^2=100a n d4(x+1)^2+y^2` at the origin is `pi/3` (b) `pi/4` (c) `pi/6` (d) `pi/2`

The angle subtended by common tangents of two ellipses 4(x-4)^(2)+25y^(2)=100 and 4(x+1)^(2)+y^(2)=4 at the origin (in degrees) is (A) 30(B)45(C)60(D)90

The angle of intersection of the parabola y^2=4\ a x and x^2=4a y at the origin is pi//6 (b) pi//3 (c) pi//2 (d) pi//4

The angles at which the circles (x-1)^(2)+y^(2)=10andx^(2)+(y-2)^(2)=5 intersect is (pi)/(6) (b) (pi)/(4) (c) (pi)/(3) (d) (pi)/(2)

For f(x)=sin^2x ,x in (0,pi) point of inflection is: pi/6 (b) (2pi)/4 (c) (3pi)/4 (d) (4pi)/3

The angle between the tangents to the parabola y^(2)=4ax at the points where it intersects with the line x-y-a=0 is (pi)/(3) (b) (pi)/(4)(c)pi(d)(pi)/(2)

The eccentric angle of a point on the ellipse x^2/6 + y^2/2 = 1 whose distance from the centre of the ellipse is 2, is (A) pi/4 (B) 7pi/6 (C) 3pi/2 (D) 5pi/3

If tanA=1/2andtanB=1/3, then: A+B= (a) pi/4 (b) 0 (c) pi (d) pi/6

The angle between the two tangents from the origin to the circle (x-7)^(2)+(y+1)^(2)=25 equals (A) (pi)/(4) (B) (pi)/(3) (C) (pi)/(2) (D) (pi)/(6)

The angle of intersection of the curves y=2\ s in^2x and y=cos2\ x at x=pi/6 is pi//4 (b) pi//2 (c) pi//3 (d) pi//6

The inclination of the tangent to the curve y^(2)=4x drawn at the point (-1 2) is (A) (pi)/(3) (B) (pi)/(6) (C) (pi)/(4) (D) (pi)/(2)