JEE Mains · Maths · STD 11 - 10.2 parabola,ellipse,hyperbola
Let a tangent to the Curve \(9 x^2+16 y^2=144\) intersect the coordinate axes at the points \(A\) and \(B\). Then, the minimum length of the line segment \(A B\) is \(.........\)
- A \(5\)
- B \(6\)
- C \(7\)
- D \(8\)
Answer & Solution
Correct Answer
(C) \(7\)
Step-by-step Solution
Detailed explanation
Equation of tangent at point \(P (4 \cos \theta, 3 \sin \theta)\) is \(\frac{x \cos \theta}{4}+\frac{y \sin \theta}{3}=1\) So A is \((4 \sec \theta, 0)\) and point \(B\) is \((0,3 \operatorname{cosec} \theta)\) Length…
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