The equation (x^2)/(1-r)-(y^2)/(1+r)=1,r...

The equation `(x^2)/(1-r)-(y^2)/(1+r)=1,r >1,` represents an ellipse (b) a hyperbola a circle (d) none of these

an ellipse

a hyperbola

a circle

None of these

Text Solution

Verified by Experts

Topper's Solved these Questions

MOCK TEST 1
KVPY PREVIOUS YEAR|Exercise EXERCISE|26 Videos
MOCK TEST 2
KVPY PREVIOUS YEAR|Exercise EXERCISE|25 Videos

Similar Questions

Explore conceptually related problems

The equation (x^(2))/(1-r)-(y^(2))/(1+r)=1,r>1 represents (a)an ellipse (b) a hyperbola (c)a circle (d) none of these

Equation (x^(2))/(r-2) + (y^(2))/(5-r) = 1 represents an ellipse if

The equatio (x ^(2 ))/( 2 -r) + (y ^(2))/(r -5) +1=0 represents an ellipse, if

The equation (y^2)/(1+r)-(x^2)/(1-r)=1 (a) represents a hyperbola of eccentricity equal to (2)/(sqrt(r+1)) if r in(0,1) (b) represents a hyperbola of eccentricity equal to sqrt((1-r)/(1+r) if rin(0,1) (c) represents a ellipse of eccentricity equal to sqrt((2)/(r+1)) if rgt1 (d) represents a ellipse of eccentricity equal to sqrt((r+1)/(2)) if rgt1

(x^(2))/(r^(2)+r-6)+(y^(2))/(r^(2)-6r+5)=1 will represent the ellipse if r lies in the interval

(x^(2))/(r^(2)-r-6)+(y^(2))/(r^(2)-6r+5)=1 will represent ellipse if r lies in the interval

The curve represented by the equation sqrt(px)+sqrt(qy)=1 where p,q in R,p,q>0 is a circle (b) a parabola an ellipse (d) a hyperbola

The slopes of the common tanents of the ellipse (x^(2))/(4)+(y^(2))/(1)=1 and the circle x^(2)+y^(2)=3 are +-1(b)+-sqrt(2)(c)+-sqrt(3)(d) none of these

The sides AC and AB of a o+ABC touch the conjugate hyperbola of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1. If the vertex A lies on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1, then the side BC must touch parabola (b) circle hyperbola (d) ellipse

If a hyperbola passes through the foci of the ellipse (x^2)/(25)+(y^2)/(16)=1 . Its transverse and conjugate axes coincide respectively with the major and minor axes of the ellipse and if the product of eccentricities of hyperbola and ellipse is 1 then the equation of a. hyperbola is (x^2)/9-(y^2)/(16)=1 b. the equation of hyperbola is (x^2)/9-(y^2)/(25)=1 c. focus of hyperbola is (5, 0) d. focus of hyperbola is (5sqrt(3),0)

KVPY PREVIOUS YEAR-MOCK TEST 10-EXERCISE

Let S be the set of complex number a which satisfyndof log(1/3) { log...
Text Solution
|
("lim")(xvec0)[min(y^2-4y+11)(sinx)/x](w h e r e[dot]d e not e st h e ...
Text Solution
|
If P(x) is a polynomial of the least degree that has a maximum equal ...
Text Solution
|
if 10! = 2^p3^q5^r7^s then
Text Solution
|
Show that the height of the cylinder of maximum volume that can be ...
Text Solution
|
If (vec a xx vec b)^2 + (veca .vecb)^2 = 676 and |vecb| = 2, then |ve...
Text Solution
|
The equation (x^2)/(1-r)-(y^2)/(1+r)=1,r >1, represents an ellipse (b)...
Text Solution
|
The graph of the function, cos x cos (x +2) -cos^2 (x+1) is
Text Solution
|
If f(x)=cos{(pi)/(2)[x]-x^(3)},1ltxlt2, and [x] denotes the greatest i...
Text Solution
|
The number of real solutions of the equation 1+|e^x - 1|= e^x (e^x ...
Text Solution
|
If 2x-y+1=0 is a tangent to the hyperbola (x^2)/(a^2)-(y^2)/(16)=1 the...
Text Solution
|
If the equation (x^2)/3-4x+13=sin(a/x) has a solution then a is equal ...
Text Solution
|
If m be the slope of common tangent of y = x^2 - x + 1 and y = x^2 – 3...
Text Solution
|
If Sn=^nC0.^nC1+^nC1.^nC2+.....+^nC(n-1).^nCn and if S(n+1)/Sn=15/4 , ...
Text Solution
|
The value of integrals int(-2)^(2)max {x+|x|, x-[x]}dx where [.] repre...
Text Solution
|
One hundred identical coins, each with probability 'p' of showing head...
Text Solution
|
If omega is a complex nth root of unity, then sum(r=1)^n(a+b)omega^(r-...
Text Solution
|
If f(n+1)=1/2{f(n)+9/(f(n))},n in N , and f(n)>0fora l ln in N , t...
Text Solution
|
An arch way is in the shape of a semi-ellipse, the road level being th...
Text Solution
|
Let f(x) be positive, continuous, and differentiable on the interval ...
Text Solution
|