Question

# 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 the above

Solution

## The correct option is A Are perpendicularLine  $$4x+3y=24$$ passes through the centre of the circle$$(x-3)^2+(y-4)^2=25$$ and intersect the circle at points $$(0,8) \text{ and }(6,0)$$.$$\therefore$$ the lines which are joining 0rigin to (0,8) and (6,0) are perpendicular.Maths

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