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Day 313: JEE Mains Maths

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

  1. Question 1

    Trigonometric Identities. Asked once: 25 Jun 2022 (same type asked 5 times) See all 5 of this type

    165
    The value of 2sin⁡(12∘)−sin⁡(72∘)2\sin\left( 12^{\circ} \right)- \sin\left( 72^{\circ} \right) is :

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  2. Question 2

    Application of Integrals. Asked once: 27 Jan 2024 (same type asked 5 times) See all 5 of this type

    172
    If the area of the region {(x,y):0≤y≤min{2x,6x−x2}}\left\{ (x,y):0 \leq y \leq min\left\{ 2x,6x -x^{2} \right\} \right\} is AA, then 12A12A is equal to.........

  3. Question 3

    Complex Numbers. Asked once: 10 Apr 2023 (same type asked 5 times) See all 5 of this type

    168
    Let S={z=x+iy:2z−3i4z+2iS =\left\{ z = x + iy:\frac{2z - 3i}{4z + 2i} \right. is a real number }\}. Then which of the following is NOT correct?

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  4. Question 4

    Matrices. Asked once: 29 Jan 2023 (same type asked 5 times) See all 5 of this type

    61
    Let α\alpha and β\beta be real numbers. Consider a 3×33 \times 3 matrix A such that A2=3A+αIA^{2}= 3A + \alpha I. If A4=21A+βIA^{4}= 21A + \beta I, then

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  5. Question 5

    Sequences and Series. Asked once: 8 Apr 2023 (same type asked 5 times) See all 5 of this type

    152
    Let ana_{n} be the nth n^{\text{th~}} term of the series 5+8+14+235 + 8 + 14 + 23 +35+50+…+ 35 + 50 + \ldots and Sn=∑k=1nakS_{n}=\sum_{k = 1}^{n} a_{k}. Then S30−a40S_{30}-a_{40} is equal to

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