Home
Class 12
MATHS
Let y=mx+c be a common tangent to (x^(2...

Let `y=mx+c` be a common tangent to `(x^(2))/(16)-(y^(2))/(9)=1 and (x^(2))/(4)+(y^(2))/(3)=1`, then find the value of `m^(2)+c^(2)`.

Text Solution

Verified by Experts

The correct Answer is:
8
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • HYPERBOLA

    VK JAISWAL ENGLISH|Exercise Exercise-3 : Comprehension Type Problems|3 Videos

  • FUNCTION

    VK JAISWAL ENGLISH|Exercise SUBJECTIVE TYPE PROBLEMS|36 Videos

  • INDEFINITE AND DEFINITE INTEGRATION

    VK JAISWAL ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|29 Videos

Similar Questions

Explore conceptually related problems

The slopes of the common tangents of the hyperbolas (x^(2))/(9)-(y^(2))/(16)=1 and (y^(2))/(9)-(x^(2))/(16)=1 , are

The number of common tangents to the ellipse (x^(2))/(16) + (y^(2))/(9) =1 and the circle x^(2) + y^(2) = 4 is

A common tangent to the circles x^(2)+y^(2)=4 and (x-3)^(2)+y^(2)=1 , is

A common tangent to 9x^2-16y^2 = 144 and x^2 + y^2 = 9 , is

A common tangent to 9x^2-16y^2 = 144 and x^2 + y^2 = 9 , is

A common tangent to 9x^2-16y^2 = 144 and x^2 + y^2 = 9 , is

If m is the slope of common tangent lo circle x^(2)+y^(2 )= c^(2) and the parabola y^(2 )= 4ax then find the value of m^(2)

The number of common tangents to x^(2)+y^(2)=4,(x-3)^(2)+(y-4)^(2)=9 is

The number of common tangents of the circles x^(2) +y^(2) =16 and x^(2) +y^(2) -2y = 0 is :

If common tangents of x^(2) + y^(2) = r^(2) and (x^2)/16 + (y^2)/(9) = 1 forms a square, then the length of diagonal of the square is

Home
Profile