If `P(1,2) ,Q(4,6),R(5,7),` and `S(a , b)` are the vertices of a parallelogram `P Q R S ,` then (a)`a=2,b=4` (b) `a=3,b=4` (c)`a=2,b=3` (d) `a=1,b=-1`

If P(2,\ 4),\ \ Q(0,\ 3),\ \ R(3,\ 6) and S(5,\ y) are the vertices of a parallelogram P Q R S , then the value of y is (a) 7 (b) 5 (c) -7 (d) -8

Of A(-2,-1), B(a ,0), C(4, b) and D(1,2) are the vertices of a parallelogram, find the values of a and b .

If (-1,\ 2),\ (2,\ -1) and (3,\ 1) are any three vertices of a parallelogram then the fourth vertex (a,b) will be such that (a) a=2 , b=0 (b) a= - 2, b=0 (c) a= - 2, b=6 (d) a=0, b=4

Show that the points A(1,\ 0),\ \ B(5,\ 3),\ \ C(2,\ 7) and D(-2,\ 4) are the vertices of a parallelogram.

If P = {1,2,3,4,5} and Q = {a,b,c}, then the number of onto functions from P to Q is

With usual notations in a triangle A B C , if r_1=2r_2=2r_3 then 4a=3b (b) 3a=2b 4b=3a (d) 2a=3b

In Figure, if quadrilateral P Q R S circumscribes a circle, then P D+Q B= (a) P Q (b) Q R (c) P R (d) P S

If tangents P Qa n dP R are drawn from a variable point P to thehyperbola (x^2)/(a^2)-(y^2)/(b^2)=1,(a > b), so that the fourth vertex S of parallelogram P Q S R lies on the circumcircle of triangle P Q R , then the locus of P is (a) x^2+y^2=b^2 (b) x^2+y^2=a^2 (c) x^2+y^2=a^2-b^2 (d) none of these

The mid points of the sides of a triangle A B C along with any of the vertices as the fourth point make a parallelogram of area equal to: a r\ ( A B C) (b) 1/2a r\ ( A B C) 1/3a r\ ( A B C) (d) 1/4\ a r\ ( A B C)

If a ,b and c are in A.P. and b-a ,c-b and a are in G.P., then a : b : c is (a). 1:2:3 (b). 1:3:5 (c). 2:3:4 (d). 1:2:4