CUET · MATHS · PYQ PAPER 2023
The area of a triangle with vertices \((0,-3),(0,3)\) and \((k, 0)\) is 27 sq. units. The value of \(k\) is:
- A -27
- B -6
- C -18
- D -9
Answer & Solution
Correct Answer
(D) -9
Step-by-step Solution
Detailed explanation
\( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \) \( 27 = \frac{1}{2} \times (3 - (-3)) \times |k| \) \( 27 = \frac{1}{2} \times 6 \times |k| \) \( 27 = 3|k| \) \( |k| = 9 \) \( k = \pm 9 \) \( k = -9 \)
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