49. The straight line joining the origin to the points of intersection of line 4x + 3y =24with the curve (x-3)square + (y-4)square =25

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Q. The condition that the straight line joining the origin to the points of intersection of the line

4 x + 3 y = 24

with the circle

(x - 3)^{2} + (y - 4)^{2} = 25

Q. Prove that the angle between the straight lines joining the origin to the intersection of the straight line

y = 3 x + 2

with the curve

x^{2} + 2 x y + 3 y^{2} + 4 x + 8 y - 11 = 0

{tan}^{- 1} \frac{2 \sqrt{2}}{3}

The straight lines joining origin and the point of intersections of the curve $y^{2}$ =4x with the line x+y+n = 0 are perpendicular. Find the value of $n^{2}$ .

Q. Find the equation of the straight lines joining the origin to the points of intersection of the line

3 x + 4 y - 5 = 0

and the curve

2 x^{2} + 3 y^{2} = 5

The straight lines joining the origin to the points of intersection of the line 2x + y = 1 and curve $3 x^{2} + 4 x y - 4 x + 1 = 0$ include an angle

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