Home
Class 12
MATHS
The value of m for which y=mx+6 is a tan...

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

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

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

If m_(1) and m_(2) are two values of m for which the line y = mx+ 2sqrt(5) is a tangent to the hyperbola (x^(2))/(4)-(y^(2))/(16)=1 then the value of |m_(1)+(1)/(m_(2))| is equal to

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

The values of 'm' for which a line with slope m is common tangent to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 and parabola y^(2)=4ax can lie in interval:

Values of m, for which the line y=mx+2sqrt5 is a tangent to 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 equal to

If x-sqrt(5)y+c=0 is a tangent to the hyperbola (x^(2))/(25)-(y^(2))/(4)=1 then the value of c is

The locus of the midpoints of the chord of the circle, x ^(2) + y ^(2) = 25 which is tangent to the hyperbola, (x ^(2))/( 9) - (y ^(2))/(16)=1 is :

If the line y = mx + c is a common tangent to the hyperbola (x^2)/(100) - (y^2)/(64) = 1 and the circle x^2 + y^2 = 36 , then which one of the following is ture ?