Home
Class 12
MATHS
The locus of the point of intersection o...

The locus of the point of intersection of perpendicular tangents to the hyperbola ` x^(2)/16 - y^(2)/9 = 1` is _____

A

`x^(2) + y^(2) = 25`

B

`x^(2) +y^(2) =4`

C

`x^(2) +y^(2) =3 `

D

`x^(2) + y^(2) = 7`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (Choose the odd man out : )|5 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (Choose the incorrect statement : )|4 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS ( MCQ)|18 Videos

  • THEORY OF EQUATIONS

    SURA PUBLICATION|Exercise 4 MARKS|5 Videos

Similar Questions

Explore conceptually related problems

The locus of the point of intersection of perpendicular tangents to the hyperbola (x^(2))/(25)-(y^(2))/(9) is:

The locus of the point of intersection of perependicular tangent of the parabola y^(2) =4ax is

If the angle between the asymptotes of hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 is 120^0 and the product of perpendiculars drawn from the foci upon its any tangent is 9, then the locus of the point of intersection of perpendicular tangents of the hyperbola can be (a) x^2+y^2=6 (b) x^2+y^2=9 (c) x^2+y^2=3 (d) x^2+y^2=18

Find the locus of the point of intersection of the perpendicular tangents of the curve y^2+4y-6x-2=0 .

Locus of the poirit of intersection of the pair of perpendicular tangents to the circles x^2+y^2=1 and x^2+ y^2=7 is the director circle of the circle with radius equal to

Prove that the locus of the point of intersection of the tangents at the ends of the normal chords of the hyperbola x^2-y^2=a^2 is a^2(y^2-x^2)=4x^2y^2dot

The vertices of the hyperbola 9x^2 - 16y^2 = 144

The locus of the point of intersection of the tangents to the circle x^2+ y^2 = a^2 at points whose parametric angles differ by pi/3 .

On which curve does the perpendicular tangents drawn to the hyperbola (x^2)/(25)-(y^2)/(16)=1 intersect?

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