The common tangents to the circle x2+y2=2 and the parabola y2=8x touch the circle at P,Q andthe parabola at R,S. Then area of quadrilateral PQRS is
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If the line 2x+y=kpasses through the point which divides the line segment joining the points (1, 1) and (2, 4) in the ratio 3 : 2, then k equals
Find the coordinates of the point which divides the join of A(−5,11) and B(4,−7) in the ratio 7:2.
In what ratio does the point C(4,5) divide the join of A(2,3) and B(7,8)?
For what value of y are points P(1,4),Q(3,y) and R(−3,16) are collinear?
For the following points, write the quadrant in which it lies.(1,−4)
Find a relation between x and y, if the points A(2,1),B(x,y) and C(7,5) are collinear.
If the points A(4,3) and B(x,5) lie on the circle with centre O(2,3), find the value of x.
In what ratio is the segment joining A(2,−3) and B(5,6) divided by the x-axis? Also, find the coordinates of the point of division.