Home
Class 10
MATHS
If the points A(1,-2) , B(2,3), C(a,2) a...

If the points A(1,-2) , B(2,3), C(a,2) and D(-4, -3) form a parallelogram, find the value of a and height of the parallelogram taking AB as base.

Text Solution

Verified by Experts

The correct Answer is:
a = - 3, Height = `(12 sqrt(26))/(13)`
Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    KUMAR PRAKASHAN|Exercise Objective Questions (Fill in the blanks)|5 Videos

  • COORDINATE GEOMETRY

    KUMAR PRAKASHAN|Exercise Objective Questions (MCQs)|10 Videos

  • COORDINATE GEOMETRY

    KUMAR PRAKASHAN|Exercise Test Your Skills|23 Videos

  • CONSTRUCTIONS

    KUMAR PRAKASHAN|Exercise OBJECTIVE QUESTIONS|25 Videos

  • INTRODUCTION TO TRIGONOMETRY

    KUMAR PRAKASHAN|Exercise Objective Questions|24 Videos

Similar Questions

Explore conceptually related problems

If the points A(-1, -4) , B(b,c) and C(5,-1) are collinear and 2b + c = 4 , find the values of b and c.

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.

If the points A(6, 1), B(8, 2), C(9, 4) and D(p, 3) are the vertices of a parallelogram, taken inorder, find the value of p.

If the points A(-1, 3, 2), B(-4, 2, -2) and C(5, 5, lambda ) are collinear then find the value of lambda .

The points A(4, 5, 10), B(2, 3, 4) and C(1, 2, -1) are three vertices of a parallelogram ABCD, then

Show that A(-1,0), B(3,1), C(2,2) and D(-2,1) are the vertices of a parallelogram ABCD.

Show that the points A(1,3,2),B(-2,0,1) and C(4,6,3) are collinear.

Show that four points (1, -2), (3, 6), (5, 10) and (3, 2) are the vertices of a parallelogram.

If (1,2) , (4,y) , (x,6) and (3, 5) are the vertices of a parallelogram taken in order, find x and y.

If (1, 2), (4, y), (x, 6) and (3, 5) are the vertices of a parallelogram taken in order, find x and y.