In the `DeltaOAB,M` is the mid-point of AB,C is a point on OM, such that 2OC=CM. X is a point on the side OB such that OX=2XB. The line XC is produced to meet OA in Y. then, `(OY)/(YA)` is equal to

In the triangle OAB , M is the midpoint of AB, C is a point on OM, such that 2 OC = CM . X is a point on the side OB such that OX = 2XB. The line XC is produced to meet OA in Y. Then (OY)/(YA)=

If P is a point on the parabola y^(2)=8x and A is the point (1,0) then the locus of the mid point of the line segment AP is

The mid-point of the line joining the common points of the line 2x-3y+8=0" and "y^(2)=8x, is

In triangle ABC, P is the mid-point of side BC. A line through P and parallel to CA meets AB at point Q and a line through Q and a line through Q and parallel to BC meets median AP at point R. Prove that : BC=4QR .

Suppose A, B are two points on 2x-y+3=0 and P(1,2) is such that PA=PB. Then the mid point of AB is

If P, Q , R are the mid-points of the sides AB, BC and CA of Delta ABC and O is point whithin the triangle, then vec (OA) + vec(OB) + vec( OC) =

D and E are the mid-points of the sides AB and AC of Delta ABC and O is any point on side BC. O is joined to A. If P and Q are the mid-points of OB and OC respectively, then DEQP is Option1 a square Option2 a rectangle Option3 a rhombus Option4 a parallelogram

Comprehension (Q.6 to 8) A line is drawn through the point P(-1,2) meets the hyperbola x y=c^2 at the points A and B (Points A and B lie on the same side of P) and Q is a point on the lien segment AB. If the point Q is choosen such that PQ, PQ and PB are inAP, then locus of point Q is x+y(1+2x) (b) x=y(1+x) 2x=y(1+2x) (d) 2x=y(1+x)

In triangle ABC, P is the mid-point of side BC. A line through P and parallel to CA meets AB at point Q and a line through Q and parallel to BC meets median AP at point R. Prove that : AP=2AR

The line 4x + 5y + 20 = 0 meets x-axis at point A and y-axis at point B Find : the co-ordinates of point P in AB such that AB : BP = 5:3.