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 Exercise (Statement I And Ii Type Questions)|8 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

Find the equation of the cure which passes through the origin and has the slope x+3y-1 at the point (x,y) on it.

If the slope of a line passing through the points (1,4) and (x,2) is 2 , find the value of x .

Knowledge Check

  • 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. 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

    A
    `3`
    B
    `7`
    C
    `(7)/(4)`
    D
    `21`

  • A line with positive rational slope, passes through the point A(6,0) and is at a distance of 5 units from B (1,3). The slope of line is

    A
    `(15)/(8)`
    B
    `(8)/(15)`
    C
    `(5)/(8)`
    D
    `(8)/(5)`

    • Similar Questions

    Explore conceptually related problems

    Determine the equation of the curve passing through the origin,the slope of the tangent of which at any point (x,y) is (x+1)/(y+1)

    If the slope of a line passing through the points (x,1) and (-3,5) is (4)/(3) , find the value of x .

    The equation of the line passing through the origin and the point of intersection of the lines x/a+y/b=1 and x/b+x/a=1 is

    Find the equation of the straight line passing through the origin and the point of intersection of the lines x/a + y/b = 1 and x/b + y/a = 1.

    If the curve y=ax^(2)+bx+c passes through the point (1, 2) and the line y = x touches it at the origin, then

    Home
    Profile