Home
Class 12
MATHS
The normal at P(x(1),y(1)) on the hyperb...

The normal at `P(x_(1),y_(1))` on the hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1` meets the coordinate axes at A and B. If O, is u b the origin and e, the eccentricity of the hyperbola, then

A

`OA=e^(2)x_(1)`

B

`OB=e^(2)x_(1)`

C

`OA=e^(2)y_(1)`

D

`OB=e^(2)x_(1)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

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

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES LEVEL 2(SINGLE CORRECT ANSWER TYPE QUESTIONS)|10 Videos
  • HYPERBOLA

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|8 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

If the normal at 'theta' on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 meets the transverse axis at G , and A and A' are the vertices of the hyperbola , then AC.A'G=

The hyperbola (y^(2))/(a^(2))-(x^(2))/(b^(2)) =1 passes through the points (0, -2) and (sqrt(3). 4) . Find the value of e i.e., the eccentricity of the given hyperbola.

The eccentricity of the hyperbola -(x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is given by

The number of normals to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 from an external point, is

Let P(4,3) be a point on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 . If the normal at P intersects the x-axis at (16,0), then the eccentricity of the hyperbola is

The tangent at a point P on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 passes through the point (0,-b) and the normal at P passes through the point (2a sqrt(2),0). Then the eccentricity of the hyperbola is 2( b) sqrt(2)(c)3(d)sqrt(3)