The condition that the straight line joining the origin to the points of intersection of the line 4x+3y=24 with the circle (x-3)^2+(y-4)^2=25 a. are coincident b. are perpendicular c. make equal angle with X-axis d.None of these

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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

The lines joining the origin and the common points of $(x - 3)^{2} + (y - 4)^{2} = r^{2}$ and $4 x + 3 y = 24$ are at right angles then $| r |$ = __________

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Q. Find the equations of the lines joining the origin to the points of intersection of the lines

y = m x + c

with the circle

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

and find the condition for these lines to be perpendicular.

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

69 x + 25 y = 3450

and the circle

{(x - 25)}^{2} + {(y - 69)}^{2} = c^{2}

are at right angle, then

c^{2}

is equal to

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 $n^{2}$ .

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