Home
Class 12
MATHS
A point moves such that the area of the...

A point moves such that the area of the triangle formed by it with the points (1,5) and (3,-7) is 21 sq. units. Then locus of the point is

Text Solution

Verified by Experts

The correct Answer is:
`6x+y=32` or 6x+y=-10`
Let (x,y) be the required point. Therefore. `(1)/(2)|{:(x,,y,,),(1,,5,,),(3,,-7,,),(x,,y,,):}|=+-21`
or `5x-y-7-15+3y+7x=+-42`
i.e., `12x+2y=64 or 12x+2y=-20`
i,e., `6x+y=32 or 6x+y=-10`
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSYEM

    CENGAGE|Exercise Exercise (Single)|59 Videos

  • COORDINATE SYSYEM

    CENGAGE|Exercise Exercise (Multiple)|13 Videos

  • COORDINATE SYSYEM

    CENGAGE|Exercise Exercise 1.5|5 Videos

  • COORDINATE SYSTEM

    CENGAGE|Exercise Multiple Correct Answers Type|2 Videos

  • CROSS PRODUCTS

    CENGAGE|Exercise DPP 2.2|13 Videos

Similar Questions

Explore conceptually related problems

If the area of the triangle formed by the points (1,2) (2,3) and a,4) is 8 sq. units find a.

The area of the triangle formed by the points (0,0),(3,0) and (0,4) is :

If the area of the triangle formed by the points (x,2x) ,(-2,6) and (3,1) is 5 square units then x=………….

The area of triangle formed by the points (-5, 0), (0, -5) and (5, 0) is

The area of triangle formed by the points (-5,0) ,(0,-5) and (5,0) is ……….

Find the area of the triangle formed by the points. (1, -1), (-4, 6), (-3, -5)

Find the area of the triangle formed by the points. (-10, -4), (-8, -1) and (-3, -5)