Home
Class 12
MATHS
Find the value of m for which y=m x+6 is...

Find the value of `m` for which `y=m x+6` is tangent to the hyperbola `(x^2)/(100)-(y^2)/(49)=1`

A

`sqrt((17)/(20))`

B

`-sqrt((17)/(21))`

C

`sqrt((20)/(17))`

D

`-sqrt((21)/(17))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise For Session 3|17 Videos
  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|30 Videos
  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise For Session 1|19 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 area of the triangle formed by any tangent to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 with its asymptotes.

The value of m, for which the line y = mx + 2 is a tangent to the hyperbola 4x^(2)-9y^(2)-36 are

Find the equations to the common tangents to the two hyperbolas (x^2)/(a^2)-(y^2)/(b^2)=1 and (y^2)/(a^2)-(x^2)/(b^2)=1

If the values of m for which the line y=mx+2sqrt(5) touches the hyperbola 16x^(2)-9y^(2)=144 are the roots of the equation x^(2)-(a+b)x-4=0 , then the value of a+b is

Find the equation of that diameter which bisects the chord 7x+y-2=0 of the hyperbola (x^(2))/(3)-(y^(2))/(7)=1 .

If the tangent at the point (2sec theta,3tan theta) to the hyperbola (x^(2))/(4)-(y^(2))/(9)=1 is parallel to 3x-4y+4=0 , then the value of theta , is

If it is possible to draw the tangent to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 having slope 2, then find its range of eccentricity.

If a >2b >0, then find the positive value of m for which y=m x-bsqrt(1+m^2) is a common tangent to x^2+y^2=b^2 and (x-a)^2+y^2=b^2dot

Find the locus of the mid-point of the chords of the circle x^2 +y^2=16 , which are tangent to the hyperbola 9x^2-16y^2= 144 .

Find the equations of the tangent and normal to the hyperbola x^2/a^2 - y^2/b^2 = 1 at the point (x_0,y_0)