Home
Class 12
MATHS
Let P(6,3) be a point on the hyperbola ...

Let P(6,3) be a point on the hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2))` =1. If the normal at the point P
intersects the x- axis at (12,0). Find the eccentricity of the hyperbola. `(sqrt(2)=1.41)`

Text Solution

Verified by Experts

The correct Answer is:
1.41
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 98

    NTA MOCK TESTS|Exercise Mathematics (SUBJECTIVE NUMERICAL)|9 Videos

  • NTA TPC JEE MAIN TEST 94

    NTA MOCK TESTS|Exercise MATHEMATICS |31 Videos

  • PROBABILITY TEST

    NTA MOCK TESTS|Exercise MULTIPLE CHOICE QUESTIONS|30 Videos

Similar Questions

Explore conceptually related problems

Let P(6,3) be a point on the hyperbola parabola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 If the normal at the point intersects the x-axis at (9,0), then the eccentricity of the hyperbola 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

Find the eccentricity of hyperbola x^(2)-9y^(2)=1 .

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

The line 2x+y=1 is tangent to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1. If this line passes through the point of intersection of the nearest directrix and the x-axis,then the eccentricity of the hyperbola is