PYQ Vault
EbooksTutor

Day 327: JEE Mains Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Matrices. Asked once: 27 Jul 2022 (same type asked 4 times) See all 4 of this type

    154
    Let A=(4−2αβ)A =\begin{pmatrix} 4 & - 2 \\ \alpha & \beta \end{pmatrix} If A2+γA+18I=OA^{2}+ \gamma A + 18I = O, then det(a)det(a) is equal to

    Tap an option to check your answer.

  2. Question 2

    Relations and Functions. Asked once: 2021 Paper 18 (same type asked 4 times) See all 4 of this type

    70
    Out of all the patients in a hospital 89%89\% are found to be suffering from heart ailment and 98%98\% are suffering from lungs infection. If K%K\% of them are suffering from both ailments, then KK can not belong to the set:

    Tap an option to check your answer.

  3. Question 3

    Differential Equations. Asked once: 2021 Paper 1 (same type asked 4 times) See all 4 of this type

    75
    The population P=P(t)P=P(t) at time ' tt ' of a certain species follows the differential equation dPdt=\frac{dP}{dt}= 0.5P-450. If P(0)=850P(0) = 850, then the time at which population becomes zero is :

    Tap an option to check your answer.

  4. Question 4

    Inverse Trigonometric Functions. Asked once: 2021 Paper 24 (same type asked 4 times) See all 4 of this type

    62
    cos⁡−1(cos⁡(−5))+sin⁡−1(sin⁡(6))−tan⁡−1(tan⁡(12))\cos^{- 1}(\cos( - 5)) +\sin^{- 1}(\sin(6)) -\tan^{- 1}(\tan(12)) is equal to: (The inverse trigonometric functions take the principal values)

    Tap an option to check your answer.

  5. Question 5

    Application of Derivatives. Asked once: 2021 Paper 23 (same type asked 4 times) See all 4 of this type

    78
    Let ff be any continuous function on [0,2]\lbrack 0,2\rbrack and twice differentiable on (0,2)(0,2). If f(0)=0,f(1)=1f(0) = 0, f(1) = 1 and f(2)=2f(2) = 2, then

    Tap an option to check your answer.