Search any question & find its solution
Question:
Answered & Verified by Expert
The point moves such that the area of the triangle formed by it with the points $(1,5)$ and $(3,-7)$ is $21 s q$. unit. The locus of the point is
Options:
Solution:
1091 Upvotes
Verified Answer
The correct answer is:
$6 x+y-32=0$
Let the point be $(x, y)$. Area of triangle with points $(x, y),(1,5)$ and $(3,-7)$ is 21 sq. units $\therefore \quad \frac{1}{2}\left|\begin{array}{ccc}x & y & 1 \\ 1 & 5 & 1 \\ 3 & -7 & 1\end{array}\right|=21$
Solving; locus of point $(x, y)$ is $6 x+y-32=0$
Solving; locus of point $(x, y)$ is $6 x+y-32=0$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.