CUET · MATHS · PYQ PAPER 2023
The equation of tangent to the curve \(y=\sqrt{3 x-2}\) which is parallel to the line \(4 x-2 y+5=0\) is :
- A \(48 x-24 y=59\)
- B \(23 x-24 y=48\)
- C \(23 x+24 y=48\)
- D \(48 x-24 y=23\)
Answer & Solution
Correct Answer
(D) \(48 x-24 y=23\)
Step-by-step Solution
Detailed explanation
\(m_{line} = \frac{-4}{-2} = 2\) \(\frac{dy}{dx} = \frac{1}{2\sqrt{3x-2}} \cdot 3 = \frac{3}{2\sqrt{3x-2}}\) \(\frac{3}{2\sqrt{3x-2}} = 2 \Rightarrow 3 = 4\sqrt{3x-2}\) \(\frac{9}{16} = 3x-2 \Rightarrow 3x = \frac{9}{16}+2 = \frac{41}{16}\) \(x = \frac{41}{48}\)…
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