CUET · MATHS · PYQ PAPER 2023
The equation of the normal to the curve \(y=\sin x\) at \((0,0)\) is :
- A \(x-y=0\)
- B \(x+y=0\)
- C \(x=0\)
- D \(y=0\)
Answer & Solution
Correct Answer
(B) \(x+y=0\)
Step-by-step Solution
Detailed explanation
\(\frac{dy}{dx} = \cos x\) \(m_t = \cos(0) = 1\) \(m_n = -\frac{1}{m_t} = -1\) \(y - 0 = -1(x - 0)\) \(y = -x\) \(x + y = 0\)
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 value of the determinant \(\left|\begin{array}{ccc}a \cos \theta & b \sin \theta & 0 \\ -b \sin \theta & a \cos \theta & 0 \\ 0 & 0 & c\end{array}\right|\) is :CUET 2023 Easy
- If corner points of a feasible region are \((0,0),(2,0),\left(\frac{20}{19}, \frac{45}{19}\right)\) and \((0,3)\), then
(A) Maximum value of \(z=5 x+3 y\) is 10
(B) Minimum value of \(z=5 x+3 y\) is 0
(C) Maximum value of \(z=5 x+3 y\) is \(\frac{235}{19}\) and minimum value is 0
(D) Maximum value of \(z=5 x+3 y\) is 10 and minimum value is 0
Choose the correct answer from the options given below :CUET 2023 Medium - If \(A\) is square matrix of order \(3 \times 3\) and \(|\operatorname{adj} A|=64\), then the value of \(|5 A|\) isCUET 2025 Easy
- Suppose \(10 \backslash \%\) of men and \(0.5 \backslash \%\) of women have grey hair. A grey haired person is selected at random. If there are equal number of males and females, then the probability of the selected person being a female is :CUET 2023 Hard
- If A and B are square matrices of order 3 such that \(|A|=-1,|B|=3\) then \(|3 A B|\) is:CUET 2023 Hard
- If A is an invertible symmetric matrix, then \(A^{-1}\) isCUET 2025 Hard
More PYQs from CUET
- Observe the figures and answer the question.
The bacteria which grow anaerobically on cellulosic material present in the digester tank of bio-gas plant is.CUET 2023 Hard - \(\int_0^1 \tan ^{-1}\left(\frac{2 x-1}{1+x-x^2}\right) d x\) is equal to :CUET 2025 Medium
- If there were 100 rose plants in a garden last year. 20 new rose plants are added through reproduction in current year. The birth rate of rose is ____________ offspring per rose per yearCUET 2023 Medium
- Observe the illustration and answer the following question:
Meiotic division in primary oocytes is arrested at:CUET 2023 Medium - A is a square matrix of order 3 such that |A| = 13. The value of | - 3A| is:CUET 2023 Hard
- A storage battery of emf 8.0 V and internal resistance 0.5 \(\Omega\) is being charged by a 60 V dc supply using a series resistor of 12.5 \(\Omega\). The terminal potential difference between the terminals of the battery during charging isCUET 2025 Easy