If A=(x2+y2=16)and B=(9x2+25y2=225)then n(AintersectionB)

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x^{2} + y^{2} = 16

9 x^{2} + 25 y^{2} = 225

(- \frac{5}{\sqrt{2}}, \frac{3}{\sqrt{2}})

x^{2} - y^{2} = 8

9 x^{2} + 25 y^{2} = 225

\begin{matrix} C o l u m n I & C o l u m n I I a. If x, y \in R, satisfying the equation \frac{(x - 4)^{2}}{4} + \frac{y^{2}}{9} = 1 & p. - \frac{2}{3} then the difference between the largest and smallest value of the expression \frac{x^{2}}{4} + \frac{y^{2}}{9} is b. If P Q is focal chord of ellipse \frac{x^{2}}{25} + \frac{y^{2}}{16} = 1 which passes & q. 10 through S \equiv (3, 0) and P S = 2, then length of chord P Q is c. If the normal at the point P (θ) to the ellipse \frac{x^{2}}{14} + \frac{y^{2}}{5} = 1 intersect it again at the point Q (2 θ), then the value of cos θ is & r. \frac{3}{4} \sqrt{7} d. The length of common tangent to x^{2} + y^{2} = 16 and & s. 8 9 x^{2} + 25 y^{2} = 225 is \end{matrix}

(- \frac{5}{\sqrt{2}}, \frac{3}{\sqrt{2}})

x^{2} - y^{2} = 8

9 x^{2} + 25 y^{2} = 225

90^{\circ}

Δ A B C

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