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)s qdotu n i t sdot` Then, find the locus of the point.

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

A point moves such that the area of the triangle formed by it with the points (1,5) and (3,-7)is21sq inits.Then,find the locus of the point.

Find the area of the triangle formed by the points (1,2),(3,4) and (-2,0)

Find the area of the triangle formed by the points P(-1.5,3),Q(6,-2) and R(-3,4)

the area of triangle formed by the points (0,0) (1,1) and (2,3) is

Find the area of a triangle formed by the points A(5,2),B(4,7) and C(7,-4)

If the area of the triangle formed by the points (2, 3), (5, 7) and (x, -1) is 4 sq.units,then x is

Area of the triangle formed by points (102 ,-4),(105 ,-2) and (103 ,-3)

Find area of triangle formed by the points A(5;2);B(4;7) and C(7;-4)

Find area of the triangle formed by the points (1,2,3), (-1,-1,8) and (-4,4,6) .