Home
Class 12
MATHS
If two tangents can be drawn the differe...

If two tangents can be drawn the different branches of hyperbola `(x^(2))/(1)-(y^(2))/(4) =1` from `(alpha, alpha^(2))`, then

A

`alpha in (-infty, -2)`

B

`alpha in (-2, 0)`

C

`alpha in (0, 2)`

D

`alpha in (2, infty)`

Text Solution

Verified by Experts

The correct Answer is:
A, D
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    ARIHANT MATHS|Exercise Example|7 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise JEE Type Solved Examples : Matching Type Questions|1 Videos

  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

If the tangent at the point (2sec theta,3tan theta) to the hyperbola (x^(2))/(4)-(y^(2))/(9)=1 is parallel to 3x-4y+4=0 , then the value of theta , is

From a point on the line y=x+c , c(parameter), tangents are drawn to the hyperbola (x^(2))/(2)-(y^(2))/(1)=1 such that chords of contact pass through a fixed point (x_1, y_1) . Then , (x_1)/(y_1) is equal to

Tangents are drawn from the point (alpha, beta) to the hyperbola 3x^(2)-2y^(2)=6 and are inclined at angle theta and phi to the x-axis. If tan theta*tan phi=2 , then the value 2alpha^(2)-beta^(2) is ____________.

The product of the lengths of the perpendiculars drawn from two foci of the hyperbol (x ^(2))/( a ^(2)) -(y ^(2))/(b ^(2)) =1 to any tangent to this hyperbola is :

Prove that the locus of the middle-points of the chords of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 which pass through a fixed point (alpha, beta) is a hyperbola whose centre is ((alpha)/(2), (beta)/(2)) .

A point P is taken on the right half of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 having its foci as S_1 and S_2 . If the internal angle bisector of the angle angleS_1PS_2 cuts the x-axis at poin Q(alpha, 0) then range of alpha is

Find the locus of a point P(alpha, beta) moving under the condition that the line y=ax+beta is a tangent to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 .

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 x^2+y^2=6 (b) x^2+y^2=9 x^2+y^2=3 (d) x^2+y^2=18

From the points on the circle x^(2)+y^(2)=a^(2) , tangents are drawn to the hyperbola x^(2)-y^(2)=a^(2) : prove that the locus of the middle-points (x^(2)-y^(2))^(2)=a^(2)(x^(2)+y^(2))

Let ( alpha , beta ) be a point from which two perpendicular tangents can be drawn to the ellipse 4x^(2)+5y^(2)=20 . If F=4alpha+3beta , then