0 votes
in Mathematics by (53.5k points)

Let A(h, k), B(1, 1) and C(2, 1) be the vertices of a right-angled triangle with AC as its hypotenuse. If the area of the triangle is 1, then the set of values of k is given by

(A)  {0,2}

(B)  {-1,3}

(C)  {-3,-2}

(D)  {1,3}

1 Answer

+1 vote
by (53.8k points)
selected by
Best answer

Correct option  (B)  {-1,3}

Explanation :

See Fig. Since BC is horizontal line (y = 1) and AB is perpendicular to BC, it follows that AB is a vertical line passing through B(1, 1). Hence, h = 1.


Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.