Home
Class 12
MATHS
If (-1, 2), (4, 1), (7, 16) are the thre...

If (-1, 2), (4, 1), (7, 16) are the three vertices of a parallelogram taken in order, then the fourth vertex and also the area of the parallelogram are

A

(-4, 3), 16 sq.unit

B

(2, 17), 78 sq.unit

C

(-8, 3), 24 sq.unit

D

(10, -5), 36 sq.unit.

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • COORDINATE SYSTEM (2D)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS)|12 Videos

  • COORDINATE SYSTEM (2D)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 145|1 Videos

  • COMPLEX NUMBERS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos

  • COORDINATE SYSTEM (3D)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET- 4)|3 Videos

Similar Questions

Explore conceptually related problems

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

If A(1,2) , B(3,4) and C(6,6) are the three vertices of a parallelogram ABCD , find the co-ordinates of the fourth vertex D.

Knowledge Check

  • If A(2, 4, -1), B(3, 6, -1) and C(4, 5, 1) are three consecutive vertices of a parallelogram, then its fourth vertex is

    A
    (1,3,3)
    B
    (1,3,-3)
    C
    (3,3,-1)
    D
    (3,3,1)

  • If (-2 , -1) , (a , 0) , (4 , b) and (1 , 2) are the vertices of a parallelogram then a = ....

    A
    3
    B
    2
    C
    4
    D
    1

  • The adjacent sides of a parallelogram are vecP=2i-3j+k and vecQ=-2i+4j- What is the area of the parallelogram ?

    A
    4 units
    B
    7 units
    C
    `sqrt(5)` units
    D
    `sqrt8` units

    • Similar Questions

    Explore conceptually related problems

    If (-2,-1), (1,0) and (4,3) are three successive vertices of a parallelogram, find the fourth vertex.

    If A(3,4),B(6,5) and C(8,8) are the three vertices of a parallelogram ABCD. Find the co-ordinates of the fourth vertex D.

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

    A(2, 4, 2), B(1, 2, 1), C(4, 3, -1) and D are the vertices of a parallelogram ABCD. Then find the position vector of the point D.

    The adjacent sides of a parallelogram are vecP=2i-3j+k and vecQ=-2i+4j-k . What is the area of the parallelogram ?

    Home
    Profile