Home
Class 12
MATHS
Let H : x^(2) - y^(2) = 9, P : y^(2) = 4...

Let `H : x^(2) - y^(2) = 9, P : y^(2) = 4(x - 5), L : x = 9` be three curves.
If L is the chord of contact of the hyperbola H, then the equation of the corresponding pair of tangent is

A

`9x^(2)-8y^(2)+18x-9=0`

B

`9x^(2)-8y^(2)-18x+9=0`

C

`9x^(2)-8y^(2)-18x-9=0`

D

`9x^(2)-8y^(2)+18x+9=0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THE HYPERBOLA

    ML KHANNA|Exercise PROBLEM SET (3) (TRUE AND FALSE) |5 Videos

  • THE HYPERBOLA

    ML KHANNA|Exercise PROBLEM SET (3) (FILL IN THE BLANKS)|3 Videos

  • THE HYPERBOLA

    ML KHANNA|Exercise PROBLEM SET (2) (FILL IN THE BLANKS) |4 Videos

  • THE ELLIPSE

    ML KHANNA|Exercise SELF ASSESSMENT TEST|9 Videos

  • THE PARABOLA

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (Assertion/ Reason)|1 Videos

Similar Questions

Explore conceptually related problems

If x=3 is the chord of the contact of the circle x^(2)+y^(2)=81, then the equation of the corresponding pair of tangents,is

Let H : x^(2) - y^(2) = 9, P : y^(2) = 4(x - 5), L : x = 9 be three curves. If R is the point of intersection of the tangents to H at the extremities of the chord L, then equation of the chord of contact of R with repect to the parabola P is

Let H : x^(2) - y^(2) = 9, P : y^(2) = 4(x - 5), L : x = 9 be three curves. IF the chord of contact of R with repect to the parabola P meets the parabola at T and S is the focus of the parabola then the area of the triangle"STT"' is sq. units

Let C : x^(2) + y^(2) = 9, E : (x^(2))/(9) + (x^(2))/(4) =1 and L : y = 2x be three curves. IF R is the point of intersection of the line L with the line x =1 , then

if 5x+9=0 is the directrix of the hyperbola 16x^(2)-9y^(2)=144, then its corresponding focus is

If 5x +9 =0 is the directtrix of the hyperbola 16x^(2) -9y^(2)=144, then its corresponding focus is

Let C : x^(2) + y^(2) = 9, E : (x^(2))/(9) + (x^(2))/(4) =1 and L : y = 2x be three curves P be a point on C and PL be the perpendicular to the major axis of ellipse E. PL cuts the ellipse at point M. If equation of normal to C at point P be L : y = 2x then the equation of the tangent at M to the ellipse E is

Let C : x^(2) + y^(2) = 9, E : (x^(2))/(9) + (x^(2))/(4) =1 and L : y = 2x be three curves P be a point on C and PL be the perpendicular to the major axis of ellipse E. PL cuts the ellipse at point M. (ML)/(PL) is equal to

If x=9 is the chord of contact of the hyperbola x^(2)-y^(2)=9 then the equation of the corresponding pair of tangents is (A)9x^(2)-8y^(2)+18x-9=0(B)9x^(2)-8y^(2)-18x+9=0(C)9x^(2)-8y^(2)-18x-9=0(D)9x^(^^)2-8y^(^^)2+18x+9=0'