CUET · MATHS · PYQ PAPER 2025
The equation of the tangent line to the curve \(y=x^2-2 x+5\) which is Oparallel to the line 4x - y + 1 = 0 is:
- A 4x - y - 1 = 0
- B 4x - y - 4 = 0
- C x + 4y - 4 = 0
- D x + 4y - 1 = 0
Answer & Solution
Correct Answer
(B) 4x - y - 4 = 0
Step-by-step Solution
Detailed explanation
\(m_{line} = 4\) \(\frac{dy}{dx} = 2x - 2\) \(2x - 2 = 4 \implies 2x = 6 \implies x = 3\) \(y = (3)^2 - 2(3) + 5 = 9 - 6 + 5 = 8\) \(y - 8 = 4(x - 3)\) \(y - 8 = 4x - 12\) \(4x - y - 4 = 0\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from MATHS
- The behavior and pattern of the data in a time series is NOT based on which of the following component?CUET 2025 Easy
- The vector in the direction of the vector \(2 \hat{i}-\hat{j}-2 \hat{k}\) that has magnitude 9 units is :CUET 2025 Easy
- A card is drawn from a well-shuffled pack of 52 cards. Its outcome is noted and then another card is drawn without replacing the first card. The probability that the first card is a heart and the second card is a red ace is:CUET 2023 Medium
- If a line makes angles \(\frac{2 \pi}{3}\) and \(\frac{\pi}{3}\) with positive direction of \(x\)-axis and \(y\)-axis respectively,
then the acute angle made by the line with positive \(z\)-axis is:CUET 2023 Medium - Using integration the area enclosed by the ellipse \(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\) is equal to :CUET 2023 Hard
- The value of \(\sin \left(2 \sin ^{-1} \frac{4}{5}\right)\) is given by :CUET 2023 Medium
More PYQs from CUET
- Choose the correct statement(s) for Wolff Kishner Reaction.
(A) The carbonyl group of aldehyde and ketone is reduced to CH\(_2\) group.
(B) Wolff Kishner Reaction involves potassium hydroxide and ethylene glycol
(C) The reaction is carried out at a low temperature.
(D) Hydrazine is used in this reaction.
Choose the correct answer from the options given below:CUET 2025 Hard - The finches found on Galapagos Islands were originally ___________ .CUET 2023 Hard
- The transgenic animal used to test the safety of the polio vaccine is:CUET 2023 Easy
- A resistor of resistance \( 30 \, \Omega \) and a capacitor of capacitance \( (250 \pi^{-1}) \, \mu\text{F} \) are connected in series to a 220 V, 50 Hz source. The current in the circuit isCUET 2025 Medium
- The wavelength of photon emitted by a hydrogen atom when an electron makes a transition from n = 2 to n = 1 state is. (Take the value of the Rydberg constant, \(R = 1.0973 \times 10^7 \text{ m}^{-1}\))CUET 2025 Easy
- \(\int_{-1}^1\left(x^7+x^5+x^3+x+1\right) d x\) is equal to:CUET 2025 Medium