See Our team

Wondering how we keep quality?

Got unsolved questions?

Ask Questions

Engineering
GATE
CBSE
NCERT
Psychology
English
Computer
Constitution
Astrology
Yoga
Economics
Physics
Biology
Electronics
Microprocessor
Career
Interview
Anatomy
Botany

## Let k be an integer such that triangle with vertices (k, –3k), (5, k) and (–k, 2) has area 28 sq. units. Then the orthocentre of this triangle is at the point :-JEE MAINS-Mathematics-2017

(1)(2,1/2)

(2)(2,-1/2)

(3)(1,3/4)

(4)(1,-3/4)

By:Purnima

Taged users:

|Austin-Hunter

Likes:

Be first to like this question

Dislikes:

Be first to dislike this question

Talk about thisDelete|Like|Dislike|

## Answers

We have(3X3 matrix)

| k 3k 1 |

(1/2) | 5 k 1 |= 28

| k 2 1 |

5k2 + 13k – 46 = 0

or

5k2 + 13k + 66 = 0 (no real solution exist)

k =–23/5 or k = 2

As k is an integer, so k=2

orthocentre is (2,1/2)

leo

Likes:

Be first to like this answer

Dislikes:

Be first to dislike this answer

Talk about this|Once you have earned teacher badge you can edit this questionDelete|Like|Dislike|

------------------------------------

## Use Me ?