PYQ Vault
EbooksTutor

Day 166: MHT-CET Maths

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

  1. Question 1

    Conic Sections. This type asked 2 times: 12 May 2024 S2, 19 Apr 2025 S2. This one: 19 Apr 2025 S2 See all 2 of this type

    150
    If two curves x2−4y2=2x^{2}- 4y^{2}= 2 and 8x2=40−my28x^{2}= 40 - my^{2} are orthogonal to each other then m=m =

    Tap an option to check your answer.

  2. Question 2

    Differentiation. This type asked 2 times: 9 May 2024 S2, 19 Apr 2025 S2. This one: 19 Apr 2025 S2 See all 2 of this type

    115
    If x25+y25=a25x^{\frac{2}{5}}+y^{\frac{2}{5}}=a^{\frac{2}{5}} then dy dx=\frac{dy}{\text{ }dx}=

    Tap an option to check your answer.

  3. Question 3

    Line and Plane. This type asked 2 times: 14 May 2024 S1, 19 Apr 2025 S2. This one: 19 Apr 2025 S2 See all 2 of this type

    149
    If the shortest distance between the lines r‾1=αi^+2j^+2k^+λ(i^−2j^+2k^),λ∈R,α>0{\overline{r}}_{1}=\alpha\widehat{i}+ 2\widehat{j}+ 2\widehat{k}+\lambda(\widehat{i}- 2\widehat{j}+ 2\widehat{k}),\lambda\in\mathbb{R},\alpha> 0 and rˉ2=−4i^−k^+μ(3i^−2j^−2k^),μ∈R{\bar{r}}_{2}= - 4\widehat{i}-\widehat{k}+\mu(3\widehat{i}- 2\widehat{j}- 2\widehat{k}),\mu\in R, is 9 , then the value of α\alpha is

    Tap an option to check your answer.

  4. Question 4

    Mathematical Logic. This type asked 2 times: 2 May 2023 S2, 19 Apr 2025 S2. This one: 19 Apr 2025 S2 See all 2 of this type

    128
    Which of the following are pairs of equivalent switching circuits? (A) (p∧q)∨(p∧r)(p \wedge q) \vee (p \wedge r) (B) p∨(q∧r)p \vee (q \wedge r) (C) p∧(q∨r)p \wedge (q \vee r) (D) p∧q∧rp \wedge q \wedge r (E) (p∧q)∨r(p \wedge q) \vee r

    Tap an option to check your answer.

  5. Question 5

    Trigonometric Functions. This type asked 2 times: 15 May 2023 S1, 14 May 2024 S2. This one: 14 May 2024 S2 See all 2 of this type

    147
    If acos⁡2θ+bsin⁡2θ=ca\cos 2\theta + b\sin 2\theta = c has α\alpha and β\beta as its roots, then tan⁡α+tan⁡β\tan\alpha + \tan\beta is

    Tap an option to check your answer.