Home
Class 12
MATHS
Through the vertex O of the parabola y^2...

Through the vertex `O` of the parabola `y^2=4a x` , two chords `O Pa n dO Q` are drawn and the circles on OP and OQ as diameters intersect at `Rdot` If `theta_1,theta_2` , and `varphi` are the angles made with the axis by the tangents at `P` and `Q` on the parabola and by `O R ,` then value of `cottheta_1+cottheta_2` is

Text Solution

Verified by Experts

The correct Answer is:
0
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|8 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos

Similar Questions

Explore conceptually related problems

The straight line y=mx+1 is a tangent to the parabola y^2=4x , the find the value of m.

If from the vertex of a parabola y^2=4x a pair of chords be drawn at right angles to one another andwith these chords as adjacent sides a rectangle be made, then the locus of the further end of the rectangle is

If m_1,m_2 are the slopes of the two tangents that are drawn from (2,3) to the parabola y^2=4x , then the value of 1/m_1+1/m_2 is

Angle between tangents drawn from the point (1, 4) to the parabola y^2 = 4ax is :

If two tangents drawn from a point P to the parabola y2 = 4x are at right angles, then the locus of P is

Find a point on the parabola y = (x-3)^2 , where the tangent s parallel to the chord joining (3,0) and (4,1)

Two tangents to the parabola y^2=4ax make supplementary angles with the x-axis. Then the locus of their point of intersection is

The tangent to the curve y =x^3 +1 at (1,2) makes an angle theta with y-axis, then the value of tan theta is

Points A, B and C lie on the parabola y^2= 4ax . The tangents to the parabola at A, B and C, taken in pair, intersect at points P, Q and R. Determine the ratio of the areas of the triangles ABC and PQR.

Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x . They intersect at P and Q in first and fourth quadrant respectively. Tangents to the circle at P and Q intersect the x-axis at R and tangents at the parabola at P and Q intersect the x-axis at S. The radius of the circumcircle of the triangle PRS is-