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

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

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

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

(a) $a<4$

(b) $a>4$

(c) $4<a<10$

(d) $a>10$

User Avatar
by

1 Answer

0 Votes
0 Votes
 
Best answer

SOLUTION —

For represent an ellipse, $10-a>0$ and $4-a>0$

$\Rightarrow \quad a<10$ and $a<4 \Rightarrow a<4$

So, The correct option of this question will be (A).

User Avatar
by

RELATED DOUBTS

User Avatar
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
0 Votes
46 Views
User Avatar
Ankit Asked Sep 18, 2023
91 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
0 Votes
91 Views
User Avatar
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
0 Votes
88 Views
User Avatar
Ankit Asked Sep 20, 2023
88 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
0 Votes
88 Views
User Avatar
Ankit Asked Sep 18, 2023
132 views
The equation of the directrix of the parabola x$^2$-4 x-3 y+10=0 is
Ankit Asked Sep 18, 2023
by Ankit
1 Answer
0 Votes
0 Votes
132 Views
User Avatar
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
0 Votes
47 Views
User Avatar
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
0 Votes
71 Views
User Avatar
Ankit Asked Sep 14, 2023
49 views
If $\sin y=x \sin (a+y)$, then $\frac{d y}{d x}$ is equal to
Ankit Asked Sep 14, 2023
by Ankit
1 Answer
0 Votes
0 Votes
49 Views
User Avatar
Ankit Asked Sep 18, 2023
72 views
The latusrectum of the ellipse 9$x^2$+16$y^2$=144, is
Ankit Asked Sep 18, 2023
by Ankit
1 Answer
0 Votes
0 Votes
72 Views
User Avatar
Ankit Asked Sep 18, 2023
84 views
The eccentricity of the ellipse 25$x^2$+16$y^2$=400 is
Ankit Asked Sep 18, 2023
by Ankit
1 Answer
0 Votes
0 Votes
84 Views
User Avatar
Ankit Asked Sep 15, 2023
111 views
The equation of the tangent to the curve 4x$^2$-9y$^2$=1 which is parallel to 4y=5x+7 is
Ankit Asked Sep 15, 2023
by Ankit
1 Answer
0 Votes
0 Votes
111 Views
User Avatar
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
0 Votes
78 Views
ASK DOUBTS
Peddia is an Online Question and Answer Website, That Helps You To Prepare India's All States Boards & Competitive Exams Like IIT-JEE, NEET, AIIMS, AIPMT, SSC, BANKING, BSEB, UP Board, RBSE, HPBOSE, MPBSE, CBSE & Other General Exams.
If You Have Any Query/Suggestion Regarding This Website or Post, Please Contact Us On : [email protected]

CATEGORIES

POPULAR TAGS
©2023 - ALL RIGHTS RESERVED BY PEDDIA
Link Copied!