MHT CET · Maths · Ellipse
The foci of the conic \(25 x^2+16 y^2-150 x=175\) are
- A \((0, \pm 3)\)
- B \((3, \pm 3)\)
- C \((0, \pm 5)\)
- D \((5, \pm 5)\)
Answer & Solution
Correct Answer
(B) \((3, \pm 3)\)
Step-by-step Solution
Detailed explanation
\(25(x^2 - 6x) + 16y^2 = 175\) \(25(x^2 - 6x + 9) + 16y^2 = 175 + 25(9)\)
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
- The area of the region, bounded by the parabola \(y=x^2+2\) and the lines \(y=x, x=0\) and \(x=3\), isMHT CET 2024 Easy
- If p : The total prime numbers between 2 to 100 are 26 .
q : Zero is a complex number.
r : Least common multiple (L.C.M.) of 6 and 7 is 6 .
Then which of the following is correct?MHT CET 2024 Easy - If the radius of a circular blot of oil is increasing at the rate of \(2 \mathrm{~cm} / \mathrm{min}\), then the rate
of change of its area when its radius is \(3 \mathrm{cms}\) isMHT CET 2020 Medium - The area (in sq. units) of the smaller part of the circle \(x^2+y^2=\mathrm{a}^2\) cut off by the line \(x=\frac{\mathrm{a}}{\sqrt{2}}\) isMHT CET 2023 Medium
- If \(A=\left[\begin{array}{rrr}1 & -2 & 2 \\ 0 & 2 & -3 \\ 3 & -2 & 4\end{array}\right]\) then \(A(I+\operatorname{adj} A)=\)MHT CET 2025 Medium
- If denotes the contradiction then dual of the compounds statement isMHT CET 2017 Easy
More PYQs from MHT CET
- In tissue culture technique morphogenic differentiation of shoot and root is controlled by the interaction and ratio of ______________ .MHT CET 2023 Hard
- Which of the following logic gates is called as Universal gate?MHT CET 2025 Easy
- Which among the following salts turns red litmus blue in its aqueous solution?MHT CET 2024 Medium
- The intearrati the differential equation \(\left(1+x^{2}\right) d t=\left(\tan ^{-1} x-t\right) d x\)MHT CET 2020 Easy
- Which of the following equations indicates increase in entropy?MHT CET 2024 Medium
- If the function \(f(x)=x^3-3(a-2) x^2+3 a x+7\), for some \(a \in R\) is increasing in \((0,1]\) and decreasing in \([0,5)\), then a root of the equation \(\frac{f(x)-14}{(x-1)^2}=0(x \neq 1)\) isMHT CET 2022 Hard