Home
Class 11
MATHS
Tangent and normal are drawn at the poin...

Tangent and normal are drawn at the point `P-=(16 ,16)` of the parabola `y^2=16 x` which cut the axis of the parabola at the points `Aa n dB` , rerspectively. If the center of the circle through `P ,A ,a n dB` is `C` , then the angle between `P C` and the axis of `x` is `(a)tan^(-1)(1/2)` (b) `tan^(-1)2` `(c)tan^(-1)(3/4)` (d) `tan^(-1)(4/3)`

Promotional Banner

Similar Questions

Explore conceptually related problems

Tangent and normal are drawn at P(16,16) on the parabola y^2=16x which intersect the axis of the parabola at A and B respectively. If C is the centre of the circle through the points P,A and B and angle CPB=theta then the value of tan theta is

The angle between the tangents to the curves y=x^2a n dx=y^2a t(1,1) is cos^(-1)(4/5) (b) sin^(-1)(3/5) tan^(-1)(3/4) (d) tan^(-1)(1/3)

A B is a double ordinate of the parabola y^2=4a xdot Tangents drawn to the parabola at Aa n dB meet the y-axis at A_1a n dB_1 , respectively. If the area of trapezium AA_1B_1B is equal to 12 a^2, then the angle subtended by A_1B_1 at the focus of the parabola is equal to 2tan^(-1)(3) (b) tan^(-1)(3) 2tan^(-1)(2) (d) tan^(-1)(2)

The area of the region bounded by the parabola (y-2)^(2) = x- 1 , the tangent to the parabola at the point (2,3) and the x-axis is

The tangent and normal at P(t) , for all real positive t , to the parabola y^2= 4ax meet the axis of the parabola in T and G respectively, then the angle at which the tangent at P to the parabola is inclined to the tangent at P to the circle passing through the points P, T and G is

If normal are drawn from a point P(h , k) to the parabola y^2=4a x , then the sum of the intercepts which the normals cut-off from the axis of the parabola is

If the two tangents drawn from a point P to the parabola y^(2) = 4x are at right angles then the locus of P is

The line 4x+2y = c is a tangent to the parabola y^(2) = 16x then c is :

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

A straight line is drawn through P(3,4) to meet the axis of x and y at Aa n dB , respectively. If the rectangle O A C B is completed, then find the locus of Cdot