If H=(x^(2))/(a^(2))-(y^(2))/(b^(2))-1=0...

If `H=(x^(2))/(a^(2))-(y^(2))/(b^(2))-1=0, C=(x^(2))/(a^(2))-(y^(2))/(b^(2))+1=0` and A=(x^(2))/(a^(2))-(y^(2))/(b^(2))=0` then H, A and C in

AGP

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

HYPERBOLA
ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|30 Videos
HYPERBOLA
ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos
HYPERBOLA
ARIHANT MATHS|Exercise Exercise For Session 2|14 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

The locus of the point (h,k) from which the tangent can be drawn to the different branches of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 is (A) (k^(2))/(b^(2))-(h^(2))/(a^(2)) 0 (C) (k^(2))/(b^(2))-(h^(2))/(a^(2))=0( D) none of these

(x)/(a)+(y)/(b)=a+b(x)/(a^(2))+(y)/(b^(2))=2,a!=0,b!=0

The value of (x^(2)-(y-z)^(2))/((x+z)^(2)-y^(2))+(y^(2)-(x-z)^(2))/((x+y)^(2)-z^(2))+(z^(2)-(x-y)^(2))/((y+z)^(2)-x^(2)) is -1(b)0(c)1(d) None of these

if (x)/(a^(2)-b^(2))=(y)/(b^(2)-c^(2))=(z)/(c^(2)-a^(2)) , then prove that x+y+z=0.

Two conics (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 and x^(2)=-(a)/(b)*y intersect,if (a)0

{:((a^(2))/(x) - (b^(2))/(y) = 0),((a^(2)b)/(x)+(b^(2)a)/(y) = "a + b, where x, y"ne 0.):}

if (x_(1),x_(2))^(2)+(y_(1)-y_(2))^(2)=a^(2), (x_(2)-x_(3))^(2)+(y_(2)-y_(3))^(2)=b^(2) (x_(3)-x_(1))^(2)+(y_(3)-y_(1))^(2)=c^(2). where a,b,c are positive then prove that 4 |{:(x_(1),,y_(1),,1),(x_(2) ,,y_(2),,1),( x_(3),, y_(3),,1):}| = (a+b+c) (b+c-a) (c+a-b)(a+b-c)

xe^(-y)dx+ydy=0 A) 2x^(2)+(y-1)e^(y)=c B) (x^(2))/(2)+(y-1)e^(y)=c C) (y^(2))/(2)+(x-1)e^(x)=c D) 2y^(2)+(x-1)e^(x)=0

The locus of the point of intersection of tangents drawn at the extremities of normal chords to hyperbola xy=c^(2) is (A)(x^(2)-y^(2))^(2)+4c^(2)xy=0(B)(x^(2)+y^(2))^(2)+4c2^(x)y=0(C)x^(2)-y^(2))^(2)+4c2^(x)y=0(C)x^(2)-y^(2))^(2)+4cxy=0(D)(x^(2)+y^(2))^(2)+4cxy=0

ARIHANT MATHS-HYPERBOLA-Exercise For Session 3

The diameter of 16x^(2)-9y^(2)=144 which is conjugate to x=2y is
Text Solution
|
Tangents drawn from a point on the circle x^2+y^2=9 to the hyperbola x...
Text Solution
|
If H=(x^(2))/(a^(2))-(y^(2))/(b^(2))-1=0, C=(x^(2))/(a^(2))-(y^(2))/(b...
Text Solution
|
The angle between the asymptotes of the hyperbola (x^(2))/(16)-(y^(2))...
Text Solution
|
If e and e(1), are the eccentricities of the hyperbolas xy=c^(2) and x...
Text Solution
|
Find the product of the length of perpendiculars drawn from any point ...
Text Solution
|
The number of points on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=3 from w...
Text Solution
|
If the sum of the slopes of the normal from a point P to the hyperbola...
Text Solution
|
If S=0 is the equation of the hyperbola x^2+4x y+3y^2-4x+2y+1=0 , then...
Text Solution
|
A ray emanating from the point (dqrt(41), 0) is incident on the hyperb...
Text Solution
|
A ray of light incident along the line 3x+(5-4sqrt(2))y=15 gets reflec...
Text Solution
|
The equation of the transvers and conjugate axes of a hyperbola are, ...
Text Solution
|
Find the equation of that diameter which bisects the chord 7x+y-2=0 of...
Text Solution
|
Find the equation of the hyperbola which has 3x-4y+7=0 and 4x+3y+1=0 a...
Text Solution
|
The asymptotes of a hyperbola are parallel to lines 2x+3y=0 and 3x+2y=...
Text Solution
|
If the pair of straight lines Ax^(2)+2Hxy+By^(2)=0 be conjugate diamet...
Text Solution
|
A circle cuts the rectangular hyperbola xy=1 in the points (x(1),y(1)...
Text Solution
|