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Points on a Cartesian Plane

108. The line...

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108. The line x+y =1 meets the lines represented by the equation y^3+6xy^2 +11x^2y- 6x^3 =0 at the points, P,Q,and R.IF O is the origin, then (OP)^2 +(OQ)^2+ (OR)^{} isequal to

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x + y = 1

meets the lines represented by the equation

y^{3} - x y^{2} - 14 x^{2} y + 24 x^{3} = 0

A, B, C

O

is the origin, then

O A^{2} + O B^{2} + O C^{2}

Q. A straight line through the origin O meets the parallel lines 4x+2y = 9 and 2x+y+ 6 = 0 at points P and Q respectively. Then the point O divides the segment PQ in ratio

Q. A straight line through the origin O meets the lines

4 x + 2 y = 9

2 x + y + 6 = 0

at point P and Q resp. Then the point O divides the segment PQ in ratio ?

Q. A straight line through the origin 'O' meets the parallel lines 4x+2y=9 and 2x+y+6=0 at points p and q respectively. Then the points o divides the segment PQ in the ratio

A

straight line through the origin

O

meets the parallel lines

4 x + 2 y = 9

2 x + y + 6 = 0

P

Q

respectively, then point

O

divides the segment

P Q

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