Home
Class 12
MATHS
The point A(1,2), B(2,-3), C(-1,-5) and ...

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

Text Solution

Verified by Experts

The correct Answer is:
`a to q,r, s;" b" to p; " c" to q,s; " d" to q`
a.

`h_(1) = |(10)/(sqrt(10))| = sqrt(10)`
`h_(2) = (10)/(sqrt(10)) = sqrt(10)`
Hence, the given lines form a square of side `sqrt(10)`. Therefore, the area is 10 sq. units.
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE|Exercise Exercise (Numerical)|13 Videos

  • STRAIGHT LINES

    CENGAGE|Exercise JEE Main Previous Year|9 Videos

  • STRAIGHT LINES

    CENGAGE|Exercise Exercise (Comprehension)|27 Videos

  • STRAIGHT LINE

    CENGAGE|Exercise Multiple Correct Answers Type|8 Videos

  • THEORY OF EQUATIONS

    CENGAGE|Exercise JEE Advanced Previous Year|9 Videos

Similar Questions

Explore conceptually related problems

Show that the point (3,-2),(3,2),(-1,2) and (-1,-2) taken in order are the vertices of a square.

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 the point (x ,-1),(3, y),(-2,3),a n d(-3,-2) taken in order are the vertices of a parallelogram, then find the values of xa n dydot

Show that points A(1,-5), B(-4,-8), C(-1. -13) and D(4,-10) are the vertices of a rhombus.

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.

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.

The points A(-5,4), B(-1,-2) and C(5,2) are the vertices of an isosceles right angled trinagle where the right angle is at B. Find the corrdinates of D so that ABCD is a square .

Show that points P(1,-2), Q(5, 2), R(3, -1), S(-1, -5) are the vertices of a parallelogram.

If points (1,2,3), (0,-4,3), (2,3,5) and (1,-5,-3) are vertices of tetrahedron, then the point where lines joining the mid-points of opposite edges of concurrent is