TS EAMCET · Maths · Hyperbola
The value of in order that the foci of the hyperbola and the ellipse coincide is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
Given: hyperbola x2144-y281=125 and the ellipse x216+y2b2=1 Here eccentricity of hyperbola e1=1+81144=1512 So the foci of the hyperbola ±a1e1,0=±3,0 Now foci of ellipse ±a2e2,0=±4e2,0 So according to question 4e2=3 ⇒e2=34 ...i Eccentricity of…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- Let \(A=\left[\begin{array}{rrr}-1 & -2 & -3 \\ 3 & 4 & 5 \\ 4 & 5 & 6\end{array}\right], B=\left[\begin{array}{cr}1 & -2 \\ -1 & 2\end{array}\right] \quad\) and \(C=\left[\begin{array}{lll}2 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 2\end{array}\right]\), if \(a, b\) and \(c\) respectively, denote the ranks of \(A, B\) and \(C\), then the correct order of these number isTS EAMCET 2012 Easy
- The probability distribution of a random variable \(X\) is given below.
Then the variance of \(X\) isTS EAMCET 2011 Easy - If the direction ratios of two lines are given by \(a+2 b+c=0\) and \(11 b c+6 c a-14 a b=0\). then the angle between these lines isTS EAMCET 2019 Easy
- If the sum of two roots of the equation \(x^3-7 p x^2+5 q x-6 r=0\) is zero, thenTS EAMCET 2022 Medium
- A line is at a constant distance \(c\) from the origin and meets the coordinate axes in \(A\) and \(B\). The locus of the centre of the circle passing through \(O, A, B\) isTS EAMCET 2002 Easy
- \(\begin{aligned} & f(x, y)=2(x-y)^2-x^4-y^4 \ & \left|\left(f_{x x} f_{y y}-f_{x y}^2\right)\right|_{(0,0)}\end{aligned}\)TS EAMCET 2004 Medium
More PYQs from TS EAMCET
- \(\begin{aligned} & A(\alpha, \beta)=\left[\begin{array}{ccc}\cos \alpha & \sin \alpha & 0 \\ -\sin \alpha & \cos \alpha & 0 \\ 0 & 0 & e^\beta\end{array}\right] \\ & \Rightarrow[A(\alpha, \beta)]^{-1}=\end{aligned}\)TS EAMCET 2011 Medium
- The locus of a point which moves such that the sum of its distances from two perpendicular lines is equal to is aTS EAMCET 2021 Medium
- Let be a line passing through and is a line perpendicular to and passing through The area of the triangle formed by and -axis isTS EAMCET 2021 Easy
- The variance of the following frequency distribution is
TS EAMCET 2020 Easy - A function \(f: \mathbf{R} \rightarrow \mathbf{R}\) is such that \(f(\mathrm{l})=2\) and \(f(x+y)=f(x) \cdot f(y) \forall x, y\). The area (in square units) enclosed by the lines \(2|x|+5|y| \leq 4\) expressed interms of \(f(1), f(2)\) and \(f(4)\) isTS EAMCET 2020 Medium
- The value of , when isTS EAMCET 2021 Easy