The angle between the tangents drawn from the point (1, 4) to the parabola `y^2=4x` is (A) `pi/6` (B) `pi/4` (C) `pi/3` (D) `pi/2`

The angle between the tangent drawn from (1,4) to the parabola y^(2) = 4x is _____

The angle between the tangents to the curve y=x^2-5x+6 at the point (2, 0) and (3, 0) is pi/2 (b) pi/3 (c) pi (d) pi/4

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

If (sqrt(3))b x+a y=2a b touches the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 , then the eccentric angle of the point of contact is (a) pi/6 (b) pi/4 (c) pi/3 (d) pi/2

P and Q are points on the ellipse x^2/a^2+y^2/b^2 =1 whose center is C . The eccentric angles of P and Q differ by a right angle. If /_PCQ minimum, the eccentric angle of P can be (A) pi/6 (B) pi/4 (C) pi/3 (D) pi/12

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

In triangle ABC, angle A is greater than angle B. If the measure of angles A and B satisfy the equation 3sinx-4sin^3x-k=0 . (A) pi/3 (B) pi/2 (C) (2pi)/3 (D) (5pi)/6

The acute angle between two straight lines passing through the point M(-6,-8) and the points in which the line segment 2x+y+10=0 enclosed between the co-ordinate axes is divided in the ratio 1:2:2 in the direction from the point of its intersection with the x-axis to the point of intersection with the y-axis is: (a) pi/3 (b) pi/4 (c) pi/6 (d) pi/(12)

The angle between the lines joining origin to the points of intersection of the line sqrt(3)x+y=2 and the curve y^2-x^2=4 is (A) tan^(-1)(2/(sqrt(3))) (B) pi/6 (C) tan^(-1)((sqrt(3))/2) (D) pi/2

In a right angled triangle the hypotenuse is 2sqrt(2) times the perpendicular drawn from the opposite vertex. Then the other acute angles of the triangle are (a) pi/3a n dpi/6 (b) pi/8a n d(3pi)/8 (c) pi/4a n dpi/4 (d) pi/5a n d(3pi)/(10)