Home
Class 12
MATHS
The product of perpendicular drawn from ...

The product of perpendicular drawn from any points on a hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=1` to its asymptotes is

A

`(a^(2)b^(2))/(a^(2)+b^(2))`

B

`(1)/((a^(2))+(1)/(b^(2))`

C

`(1)(a^(2))-(1)(b^(2))`

D

`a^(2)b^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS)|11 Videos

  • HYPERBOLA

    MCGROW HILL PUBLICATION|Exercise EXERCISE (CONCEPT -BASED SINGLE CORRECT ANSWER TYPE QUESTIONS)|15 Videos

  • HYPERBOLA

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES LEVEL 1(SINGLE CORRECT ANSWER TYPE QUESTIONS)|25 Videos

  • HEIGHTS AND DISTANCES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|3 Videos

  • INDEFINITE INTEGRATION

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B - ARCHITECTURE ENTRANCE EXAMINATION PAPERS|11 Videos

Similar Questions

Explore conceptually related problems

Find the product of the length of perpendiculars drawn from any point on the hyperbola x^(2)-2y^(2)-2=0 to its asymptotes.

The product of perpendicular drawn from any point on (x^(2))/(9)-(y^(2))/(16)=1 upon its asymptote is (A) (125)/(144) (B) (144)/(25) (C) (25)/(144) (D) (144)/(125)

The product of lengths of perpendicular from any point on the hyperbola x^(2)-y^(2)=8 to its asymptotes, is

The product of perpendiculars drawn from any point on a hyperbola to its asymptotes is

Find the product of lengths of the perpendiculars from any point on the hyperbola (x^(2))/(16)-(y^(2))/(9)=1 to its asymptotes.

If the product of the perpendicular distances from any point on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 eccentricity e=sqrt(3) from its asymptotes is equal to 6, then'the length of the transverse axis of the hyperbola is

Product of lengths of perpendiculars drawn from any foci of the hyperbola x^(2)-4y^(2)-4x+8y+4=0 to its asymptotes is

If N is the foot of the perpendicular drawn from any point P on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 (a>b) to its major axis AA' then (PN^(2))/(AN A'N) =

The product of the perpendicular from two foci on any tangent to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 is (A)a^(2)(B)((b)/(a))^(2)(C)((a)/(b))^(2) (D) b^(2)