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Most Important Selected Qs for JEE AdvancedMathematicsStraight Lines

A straight line passing through origin O meets the lines 4 x+2 y=3 and 2 x+y+6=0 at the points P and Q respectively, then the point O divides the segment P Q in the ratio 1: k then k is equal to

Correct answer

4

Step-by-step solution

Straight line from Origin is y=m x4 x+2 y=3, y=m x, x₁= 3 (2 m+4) , y₁= 3 m (2 m+4) 2 x+y+6=0, y=m x, x₂= -6 (m+2) , y₂= -6 m (m+2) O= -6 m (m+2) + 3 m k 2(m+2) k+1 O= -6 m+2 + 3 k 2(m+2) k+1 = -6+ 3 k 2 k+1 =0 3 2 k=6, k= 12 3 =4

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