The equation $\frac{x^2}{12-k}+\frac{y^2}{8-k}=1$ represents hyperbola, if

Question

Aayush Asked Mar 5

29 views

1 Answer

RELATED DOUBTS

Ankit Asked Sep 20, 2023

111 views

The equation $\frac{x^2}{10-a}+\frac{y^2}{4-a}=1$ represents an ellipse, if

Ankit Asked Sep 20, 2023

by Ankit

1 Answer

0 Votes

111 Views

Aayush Asked Mar 5

57 views

The line $x \cos \alpha+y \sin \alpha=p$ touches the hyperbola $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$, if

Aayush Asked Mar 5

by Aayush

1 Answer

0 Votes

57 Views

Ankit Asked Sep 15, 2023

126 views

If the foci of the ellipse $\frac{x^2}{16}+\frac{y^2}{b^2}=1$ and the hyperbola $\frac{x^2}{144}-\frac{y^2}{81}=\frac{1}{25}$ coincide, then the value of $b^2$ is

Ankit Asked Sep 15, 2023

by Ankit

1 Answer

0 Votes

126 Views

AnjaliYadav Asked Jul 8, 2022

107 views

Any point on the hyperbola $\frac{(x+1)^2}{16}-\frac{(y-2)^2}{4}=1$ is of the form

AnjaliYadav Asked Jul 8, 2022

by AnjaliYadav

1 Answer

3 Votes

107 Views

Ankit Asked Sep 20, 2023

147 views

Suppose, S and S' are foci of the ellipse $\frac{x^2}{25}+\frac{y^2}{16}=1$. If P is variable point on the ellipse and if $\Delta$ is area of the triangle PSS', then the maximum value of $\triangle$ is

Ankit Asked Sep 20, 2023

by Ankit

1 Answer

0 Votes

147 Views

AnjaliYadav Asked Jul 6, 2022

118 views

If the line $x \cos \alpha+y \sin \alpha=p$ be normal to the ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$, then

AnjaliYadav Asked Jul 6, 2022

by AnjaliYadav

1 Answer

3 Votes

118 Views

Ankit Asked Sep 18, 2023

46 views

The eccentricity of the conic $4 x^2+16 y^2-24 x-32 y=1$ is (a) $\frac{1}{2}$

Ankit Asked Sep 18, 2023

by Ankit

1 Answer

0 Votes

46 Views

Ankit Asked Sep 18, 2023

137 views

The locus of the point of intersection of the perpendicular tangents to the ellipse $\frac{x^2}{9}+\frac{y^2}{4}=1$ is

Ankit Asked Sep 18, 2023

by Ankit

1 Answer

0 Votes

137 Views

Ankit Asked Sep 20, 2023

87 views

The curve represented by the equation $4 x^2+16 y^2-24 x-32 y-12=0$ is

Ankit Asked Sep 20, 2023

by Ankit

1 Answer

0 Votes

87 Views

Ankit Asked Sep 20, 2023

155 views

The equation of the hyperbola in the standard form (with transverse axis along the x-axis) having the length of the latus rectum =9 units and eccentricity =5/4, is

Ankit Asked Sep 20, 2023

by Ankit

1 Answer

0 Votes

155 Views

Ankit Asked Sep 20, 2023

71 views

The distance between the directrices of the hyperbola x=8sec θ, y=8tan θ is

Ankit Asked Sep 20, 2023

by Ankit

1 Answer

0 Votes

71 Views

Aayush Asked Mar 2

19 views

If $2^x+2^y=2^{x+y}$, then the value of $\frac{d y}{d x}$ at $x=y=1$ is

Aayush Asked Mar 2

by Aayush

1 Answer

0 Votes

19 Views

Aayush Asked Mar 5

33 views

Equation of the ellipse with eccentricity $\frac{1}{2}$ and foci at $( \pm 1,0)$ is

Aayush Asked Mar 5

by Aayush

1 Answer

0 Votes

33 Views

Ankit Asked Sep 20, 2023

59 views

Locus of the point of intersection of straight lines $\frac{x}{a}-\frac{y}{b}=m$ and $\frac{x}{a}+\frac{y}{b}=\frac{1}{m}$ is

Ankit Asked Sep 20, 2023

by Ankit

1 Answer

0 Votes

59 Views

ANAND_YADAV Asked Jul 28, 2023

92 views

If $\tan ^{-1} x+\tan ^{-1} y+\tan ^{-1} z=\frac{\pi}{2}$; then prove that $y z+z x+x y=1$

ANAND_YADAV Asked Jul 28, 2023

by ANAND_YADAV

1 Answer

0 Votes

92 Views

Aayush Asked Mar 6

28 views

If the roots of the equation $\frac{\alpha}{x-\alpha}+\frac{\beta}{x-\beta}=1$ be equal in magnitude but opposite in sign, then $\alpha+\beta$ is equal to

Aayush Asked Mar 6

by Aayush

1 Answer

0 Votes

28 Views

Aayush Asked Feb 23

51 views

A triangle is formed by joining three points A(8,2), B(-4,-4) and C(16,1) on rectangular hyperbola xy=16. If orthocentre of the triangle ABC is (h, k) then product hk is equal to

Aayush Asked Feb 23

by Aayush

1 Answer

0 Votes

51 Views

LEELADHAR YADAV Asked Sep 1, 2023

51 views

If $\tan ^{-1} x+\tan ^{-1} y=\frac{\pi}{4}, x y<1$, then write the value of $x+y+x y$.

LEELADHAR YADAV Asked Sep 1, 2023

by LEELADHAR YADAV

1 Answer

0 Votes

51 Views

Ankit Asked Sep 18, 2023

88 views

If y=mx+c touches the parabola y$^2$=4 a(x+a), then

Ankit Asked Sep 18, 2023

by Ankit

1 Answer

0 Votes

88 Views

Ankit Asked Sep 18, 2023

73 views

In an ellipse length of minor axis is 8 and eccentricity is $\frac{\sqrt{5}}{3}$. The major axis is

Ankit Asked Sep 18, 2023

by Ankit

1 Answer

0 Votes

73 Views

Aayush Asked Feb 7

49 views

If in the equation $y=a \sin (\omega t-K x)$, y and x stands for distance and t for time respectively, then find the dimension of $a, \omega$, and $K$.

Aayush Asked Feb 7

by Aayush

1 Answer

0 Votes

49 Views

Aayush Asked Feb 22

37 views

If -9 is a root of the equation $\left|\begin{array}{lll}x & 8 & 7 \\ 2 & x & 2 \\ 7 & 6 & x\end{array}\right|-0$, then the other two roots are

Aayush Asked Feb 22

by Aayush

1 Answer

0 Votes

37 Views

Ankit Asked Sep 19, 2023

78 views

The focus of the parabola y=2 $x^2$+x is (a) (0,0)

Ankit Asked Sep 19, 2023

by Ankit

1 Answer

0 Votes

78 Views

Ankit Asked Sep 18, 2023

90 views

In an ellipse $9 x^2+5 y^2=45$, the distance between the foci is

Ankit Asked Sep 18, 2023

by Ankit

1 Answer

0 Votes

90 Views

Chandan Asked Aug 6, 2023

73 views

The equation of the plane passing through the line $\frac{x-1}{5}=\frac{y+2}{6}=\frac{z-3}{4}$ and the point $(4,3,7)$ is

Chandan Asked Aug 6, 2023

by Chandan

1 Answer

0 Votes

73 Views

LEELADHAR YADAV Asked Sep 5, 2023

121 views

If $\alpha=2 \tan ^{-1}\left(\frac{1+x}{1-x}\right) \& \beta=\sin ^{-1}\left(\frac{1-x^2}{1+x^2}\right)$ for $0<x<1$, then prove that $\alpha+\beta=\pi$. What the value of $\alpha+\beta$ will be if $x>1 ?$

LEELADHAR YADAV Asked Sep 5, 2023

by LEELADHAR YADAV

1 Answer

0 Votes

121 Views

LEELADHAR YADAV Asked Sep 1, 2023

70 views

If the fuction $f: R \rightarrow R$ be given by $f(x)=x^2+2$ and $g: R \rightarrow R$ be given by $g(x)=\frac{x}{x-1}, x \neq 1$, find fog and $g$ and hence find fog (2) and gof $(-3)$.

LEELADHAR YADAV Asked Sep 1, 2023

by LEELADHAR YADAV

1 Answer

0 Votes

70 Views

Aayush Asked Mar 2

39 views

For $|x|<1$, let $y=1+x+x^2+\ldots \infty$, then $\frac{d y}{d x}$ equals to

Aayush Asked Mar 2

by Aayush

1 Answer

0 Votes

39 Views

Aayush Asked Mar 6

23 views

If $\alpha, \beta$ are the roots of the equation $a x^2+b x+c=0$, then $\frac{\alpha}{a \beta+b}+\frac{\beta}{a \alpha+b}$ is equal to

Aayush Asked Mar 6

by Aayush

1 Answer

0 Votes

23 Views

John Michael Asked Sep 13, 2023

47 views

If $\int_0^p \frac{d x}{1+4 x^2}=\frac{\pi}{8}$, then the value of $p$ is

John Michael Asked Sep 13, 2023

by John Michael

1 Answer

0 Votes

47 Views

Aayush Asked Mar 2

26 views

If $x^m y^n=2(x+y)^{m+n}$, the value of $\frac{d y}{d x}$ is

Aayush Asked Mar 2

by Aayush

1 Answer

0 Votes

26 Views

Saurabh Kumar Verma Asked Jun 9, 2022

132 views

If G be the geometric mean of x and y, then $\frac{1}{G^2-x^2}+\frac{1}{G^2-y^2}$ is equal to

Saurabh Kumar Verma Asked Jun 9, 2022

by Saurabh Kumar Verma

1 Answer

3 Votes

132 Views

ALOK_RAJ Asked Aug 31, 2023

90 views

The set of values of a for which the point (a-1, a+1) lies outside the circle x2 + y2 = 8 and inside the circle $x^{2}+y^{2}-12 x+12 y-62=0$ is

ALOK_RAJ Asked Aug 31, 2023

by ALOK_RAJ

1 Answer

0 Votes

90 Views

AnjaliYadav Asked Jul 10, 2022

120 views

The directrix of the parabola $x^2-4 x-8 y+12=0$, is

AnjaliYadav Asked Jul 10, 2022

by AnjaliYadav

1 Answer

2 Votes

120 Views

Aayush Asked Mar 5

31 views

If $f(x)=\left\{\begin{array}{l}\frac{x^2-9}{x-3} \text { if } x \neq 3 \\ 2 x+k \end{array}\right.$, otherwise is continuous at x=3, then k is equal to

Aayush Asked Mar 5

by Aayush

1 Answer

0 Votes

31 Views

ASK DOUBTS

The equation $\frac{x^2}{12-k}+\frac{y^2}{8-k}=1$ represents hyperbola, if

0 Comments

Please log in or register to add a comment.

Please log in or register to answer this question.

1 Answer

0 Comments

Please log in or register to add a comment.

RELATED DOUBTS

CATEGORIES

POPULAR TAGS