Question:
The equation of the ellipse with focus at (±5,0) and eccentricity =(5)/(6) is:
The equation of the ellipse with focus at (±5,0) and eccentricity =(5)/(6) is:
Show Hint
For ellipse: b²=a²(1-e²).
Updated On: Mar 18, 2026
- (x²)/(36)+(y²)/(25)=1
- (x²)/(36)+(y²)/(11)=1
- (x²)/(25)+(y²)/(11)=1
- None of these
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Relation. e=(c)/(a)=(5)/(6) a=6
Step 2: Compute b². b²=a²-c²=36-25=11
Was this answer helpful?
0
0
Top BITSAT Mathematics Questions
- The solution of $\sin^{-1}\,x-\sin^{-1}\,2x=\pm\frac{\pi}{3}$ is
- If one root of the quadratic equation $a x^{2}+b x+c=0$ is equal to $n^{\text {th }}$ power of the other root, then the value of: $a^{\frac{n}{n-1}} C^{\frac{1}{n-1}}+c^{\frac{n}{n-1}} a^{\frac{1}{n-1}}$ is equal to
- $(x -1) (x^2 - 5x + 7) < (x -,1),$ then $x$ belongs to
- An ellipse has $OB$ as semi-minor axis, $F$ and $F$ are its foci and the $\angle FBF$, is a right angle. Then, the eccentricity of the ellipse is
- $2^{1/4}. 2^{2/8}. 2^{3/16}. 2^{4/32}......\infty$ is equal to-
View More Questions
Top BITSAT sections of a cone Questions
- If the line 2x-1=0 is the directrix of the parabola y²-kx+6=0, then one of the values of k is
- The line ax+by=1 cuts ellipse cx²+dy²=1 only once if
- The length of the latus-rectum of the parabola whose focus is ((u²)/(2g)\sin2α,-(u²)/(2g)\cos2α) and directrix is y=(u²)/(2g), is:
- The length of the semi-latus rectum of an ellipse is one third of its major axis, its eccentricity would be
- The locus of the point of intersection of two tangents to the parabola y²=4ax which are at right angle to one another is
View More Questions
Top BITSAT Questions
- Two point charges $-q$ and $+ q$ are located at point's $(0, 0, - a)$ and, $(0, 0, a)$ respectively. The electric potential at a point $(0, 9, z)$, where $z > a$ is
- Which of the following must be known in order to determine the power output of an automobile?
- A large drop of oil (density $0.8 \,g / cm ^{3}$ and viscosity $\eta_{0}$ ) floats up through a column of another liquid (density $1.2\, g / cm ^{3}$ and viscosity $\eta_{L}$ ). Assuming that the two liquids do not mix, the velocity with which the oil drop rises will depend on :
- A body is projected vertically upwards at time $ t = 0$ and it is seen at a height $H$ at time $t_1$ and $t_2$ second during its flight. The maximum height attained is ($g$ is acceleration due to gravity)
- At what point of a projectile motion, acceleration and velocity are perpendicular to each other ?
View More Questions