If A(-2, -1), B(a, 0), C(4, b) and D(1, ...

If `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.

Verified by Experts

The correct Answer is:

`a=1, b=3`

COORDINATE GEOMETRY
SURA PUBLICATION|Exercise Unit Test|12 Videos
COORDINATE GEOMETRY
SURA PUBLICATION|Exercise GOVERNMENT EXAM QUESTIONS|4 Videos
COMMON QUARLERLY EXAMINATION-2019
SURA PUBLICATION|Exercise Part-IV|4 Videos
CREATIVE QUESTION SET
SURA PUBLICATION|Exercise Multiple Choice Question|120 Videos

Similar Questions

Explore conceptually related problems

If the points A(6, 1), B(8, 2), C(9, 4) and D(P, 3) are the vertices of a parallelogram, taken in order. Find the value of P.

Show that A(4,-1), B(6,0), C(7,-2) and D(5, -3) are vertices of a square.

If the points A(2, 2), B(-2, -3), C(1, -3) and D(x, y) form a parallelogram then find the value of x and y.

Show that the points A(1,2,3),B(-1,-2,-1),C(2,3,2) and D(4,7,6) are the vertices of a parallelogram ABCD, but it is not a rectangle.

Show that the points A(7, 3), B(6, 1), C(8, 2) and D(9, 4) taken in that order are vertices of a parallelogram.

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=1orb=-1

If (-6,-4),(3,5),(-2,1) are the vertices of a parallelogram, then the remaining vertex can be (a) (0,-1) (b) 7,9) (c) (-1,0) (d) (-11 ,-8)

The point A(1,2), B(2,-3), C(-1,-5) and D(-2, 4) in order are the vertices of