CUET · MATHS · PYQ PAPER 2023
If \(a , b , c\) are the lengths of the sides of a triangle and \(\left|\begin{array}{ccc}a^2 & b^2 & c^2 \\ (a+1)^2 & (b+1)^2 & (c+1)^2 \\ (a-1)^2 & (b-1)^2 & (c-1)^2\end{array}\right|=0\) then :
- A \(\triangle A B C\) is equilateral triangle
- B \(\triangle A B C\) is isosceles triangle
- C \(\triangle A B C\) is right angled triangle
- D \(\triangle A B C\) is right angled isosceles triangle
Answer & Solution
Correct Answer
(B) \(\triangle A B C\) is isosceles triangle
Step-by-step Solution
Detailed explanation
\(\left|\begin{array}{ccc}a^2 & b^2 & c^2 \\ (a+1)^2 & (b+1)^2 & (c+1)^2 \\ (a-1)^2 & (b-1)^2 & (c-1)^2\end{array}\right|=0\) \(R_2 \to R_2 - R_1, R_3 \to R_3 - R_1\) \(\left|\begin{array}{ccc}a^2 & b^2 & c^2 \\ 2a+1 & 2b+1 & 2c+1 \\ -2a+1 & -2b+1 & -2c+1\end{array}\right|=0\)…
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