Sarthaks Test
0 votes
in Determinants by (10.0k points)
closed by

If x, y ∈ R, then the determinant Δ = \(\begin{vmatrix} cos\,x & -sin\,x & 1 \\ sin\,x & cos\,x & 1 \\ cos(x+y) & -sin(x+y) & 0 \end{vmatrix}\) lies in the interval

A. \([-\sqrt{2},\sqrt{2}]\)

B. \([-1,1]\)

C. \([-\sqrt{2},1]\)

D. \([-1,-\sqrt{2}]\)

1 Answer

+1 vote
by (9.4k points)
selected by
Best answer

Correct answer is A.

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.