CUET · MATHS · PYQ PAPER 2023
An insect moves along the ellipse \(\frac{x^2}{16}+\frac{y^2}{4}=1\), when the rate of change of abscissa is 4 times that of ordinate, then the insect lies in the quadrant:
A. \(I or II\)
B. \(III or IV\)
C. \(II or III\)
D. \(II or IV\)
Choose the correct answer from the options given below:
- A D only
- B C only
- C A only
- D B only
Answer & Solution
Correct Answer
(A) D only
Step-by-step Solution
Detailed explanation
\(\frac{x}{8}\frac{dx}{dt} + \frac{y}{2}\frac{dy}{dt} = 0\) \(\frac{x}{8}(4\frac{dy}{dt}) + \frac{y}{2}\frac{dy}{dt} = 0\) \(\frac{x}{2} + \frac{y}{2} = 0 \Rightarrow y = -x\) \(\frac{x^2}{16} + \frac{(-x)^2}{4} = 1\)…
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