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Most Important Selected Qs for JEE AdvancedMathematicsCircle

A straight line L with the slope 3 4 touches a circle whose radius is 5 units and centre lies on the x -axis. If the length of this tangent from a point on the x -axis is p q where p, q N , then find the least value of (p+q) .

Correct answer

23

Step-by-step solution

aligned l & = ( + 4 c 3 )^2-25 = ( 3 +4 c 3 )^2-25 & = ( 25 3 )^2-25 & = 20 3 p q p+q & =23 aligned

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