If the line $x\cos \alpha + y\sin \alpha = p$ be normal to the ellipse $\frac{{{x^2}}}{{{a^2}}} + \frac{{{y^2}}}{{{b^2}}} = 1$, then
If the line $x\cos \alpha + y\sin \alpha = p$ be normal to the ellipse $\frac{{{x^2}}}{{{a^2}}} + \frac{{{y^2}}}{{{b^2}}} = 1$, then
- A
${p^2}({a^2}{\cos ^2}\alpha + {b^2}{\sin ^2}\alpha ) = {a^2} - {b^2}$
- B
${p^2}({a^2}{\cos ^2}\alpha + {b^2}{\sin ^2}\alpha ) = {({a^2} - {b^2})^2}$
- C
${p^2}({a^2}{\sec ^2}\alpha + {b^2}{\rm{cose}}{{\rm{c}}^2}\alpha ) = {a^2} - {b^2}$
- D
${p^2}({a^2}{\sec ^2}\alpha + {b^2}{\rm{cose}}{{\rm{c}}^2}\alpha ) = {({a^2} - {b^2})^2}$
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