Home
Class 12
MATHS
The graph of the conic x^2-(y-1)^2=1 has...

The graph of the conic `x^2-(y-1)^2=1` has one tangent line with positive slope that passes through the origin . The point of the tangency being `(a,b)` then find the value of `sin^-1(a/b)`

A

`(5pi)/(12)`

B

`(pi)/(6)`

C

`(pi)/(4)`

D

`(pi)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|10 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise Hyperbola Exercise 8 : Matching Type Questions|3 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

The graph of the conic x^(2)-(y-1)^(2)=1 has one tangent line with positive slope that passes through the origin. The point of tangency being (a, b). Length of the latusrectum of the conic is (a) 1 (b) sqrt(2) (c) 2 (d) 4

The graph of the conic x^(2)-(y-1)^(2)=1 has one tangent line with positive slope that passes through the origin. The point of tangency being (a, b). Q. If e be the eccentricity of the conic, then the value of (1+e^(2)+e^(4)) is

For the curve y=4x^(3)-2x^(5) , find all the points at which the tangent passes through the origin.

Find the slope of a line, whch passes through the origin and the mid-point of the line segment joining the points P(0, -4) and B(8, 0).

For the curve y = 4x^3-2x^5 , find all the points at which the tangent passes through the origin.

Find the slope of a line, which passes through the origin, and the mid-point of the line segment joining the points P (0,-4) and B (8, 0).

For the curve y=4x^3-2x^5 , find all the points at which the tangent passes through the origin.

For the curve y=4x^3-2x^5 , find all the points at which the tangent passes through the origin.

Find the slope of the line through the points : (1, 2), (4, 2).

Find the slope of the line passing through the points : (3, - 2) and (7, -2).

Home
Profile