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[" Point "A" is on the segment "PQ],[" joining "P(6,-6)" and "Q(-4,-1)" in such a way "],[" that "(PA)/(PQ)=(2)/(5)" .If point "Q" also lies on the line "],[3x+k(y+1)=0" .Find the value of "k" ."],[" 28.If "sin theta+sin^(2)theta=0" .Find the value of "k" ."]

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Point A lies on the line segment PQ joining P(6, -6) and Q(-4, -1) in such a way that (PA)/(PQ) = (2)/(5) . If the point A also lies on the line 3x+k(y+1) = 0, find the value of k.

If sec^(2) theta(1+sin theta) (1-sin theta)=k , find the value of k.

A point P divides the line segment joining the points A(3,-5) and B(-4,8) such that (AP)/(PB)=(k)/(1). If P lies on the line x+y=0, then find the value of k.

If sec^(2)theta(1+sin theta)(1sin theta)=k, then find the value of k.

If sec^(2)theta(1+sin theta)(1-sin theta)=k, then find the value of k.

Point P divides the line segment joining the points A(2,1) and B(5,-8) such that (AP)/(AB)=(1)/(3). If P lies on the line 2x-y+k=0, find the value of k .

Point P divides the line segment joining the points A(-1,3) and B(9,8) such that (AP)/(BP)=(k)/(1). If P lies on the line x-y+2=0, find the value of k .

Point P divides the line segment joining the points A(-1,3) and B(9,8) such that (AP)/(BP) = (k)/(1) . If P lies on the line x - y + 2 = 0 , find k .

If sec^2 theta (1 + sin theta) (1 — sin theta) = k , then find the value of k.

The line joining the points (2,\ 1) and (5,\ -8) is trisected at the points P and Q . If point P lies on the line 2x-y+k=0 . Find the value of k .