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Day 319: JEE Mains Maths

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

  1. Question 1

    Conic Sections. Asked once: 29 Jan 2025 (same type asked 4 times) See all 4 of this type

    139
    Let a circle CC pass through the points (4,2)(4,2) and (0(0, 2 ), and its centre lie on 3x+2y+2=03x + 2y + 2 = 0. Then the length of the chord, of the circle CC, whose midpoint is (1,2)(1,2), is:

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  2. Question 2

    Conic Sections. Asked once: 31 Jan 2023 (same type asked 4 times) See all 4 of this type

    161
    Let HH be the hyperbola, whose foci are (1±2,0)(1 \pm\sqrt{2},0) and eccentricity is 2\sqrt{2}. Then the length of its latus rectum is

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  3. Question 3

    Sequences and Series. Asked once: 12 Apr 2023 (same type asked 4 times) See all 4 of this type

    63
    Let ⟨an⟩\left\langle a_{n} \right\rangle be a sequence such that a1+a2+…+an=n2+3n(n+1)(n+2)a_{1}+a_{2}+ \ldots +a_{n}=\frac{n^{2}+ 3n}{(n + 1)(n + 2)}. If 28∑k=1101ak=p1p2p3…pm28\sum_{k = 1}^{10} \frac{1}{a_{k}}=p_{1}p_{2}p_{3}\ldots p_{m}, where p1,p2,…..pmp_{1},p_{2},\ldots..pm are the first mm prime numbers, then mm is equal to

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  4. Question 4

    Straight Lines. Asked once: 2021 Paper 10 (same type asked 4 times) See all 4 of this type

    65
    Let the centroid of an equilateral triangle ABCABC be at the origin. Let one of the sides of the equilateral triangle be along the straight line x+y=3x+y= 3. If RR and rr be the radius of circumcircle and incircle respectively of △ABC\bigtriangleup ABC, then (R+r)(R + r) is equal to:

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  5. Question 5

    Three Dimensional Geometry. Asked once: 25 Jan 2023 (same type asked 4 times) See all 4 of this type

    77
    The distance of the point P(4,6,−2)P(4,6, - 2) from the line passing through the point (−3,2,3)( - 3,2,3) and parallel to a line with direction ratios 3,3,−13,3, - 1 is equal to:

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