AP EAMCET · Maths · Ellipse
The pole of the straight line \(x+4 y=4\) with respect to the ellipse \(x^2+4 y^2=4\) is
- A \((1,1)\)
- B \((1,4)\)
- C \((4,1)\)
- D \((4,4)\)
Answer & Solution
Correct Answer
(A) \((1,1)\)
Step-by-step Solution
Detailed explanation
Equation of line is \(x+4 y-4=0\) \[ l=1, m=4, n=-4 \] and equation of ellipse is \[ \begin{aligned} \Rightarrow & x^2+4 y^2=4 \\ \Rightarrow & \frac{x^2}{4}+\frac{y^2}{1}=1 \\ & a^2=4, b^2=1 \end{aligned} \] Pole of the straight line with respect to ellipse…
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