Maths / Coordinate Geometry / Area of Triangle Using Coordinate

QUESTION
 

For what value of 'n' the area of the triangle formd with points (1, n), (3, 5) and (-1, 2) will be 5 sq units ?

OPTIONS
A. 

1

B. 

-1

C. 

2

D. 

None of these

Right Option : A

EXPLANATION
Explain TypeExplanation Content
Text

Area of triangle formed with points (1,n) (3,5) and (-1, 2) is

      frac {1}{2}left | 1(5-2)+3(2-n)-1(n-5) right |=5

i.e.,                  left | 3+6-3n-n+5 right |=10

Rightarrow : : : : : : : : : : : : : : left | -4n+14 right |=10

Rightarrow : : : : : : : : : : : : : : -4n+14=10

or               -4n+14=-10

Rightarrow : : : : : : : : : : : : : : : : : : : n=1: : : or : : : : n=6

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