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Day 321: MHT-CET Maths

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

  1. Question 1

    Probability Distribution. Asked once: 9 May 2023 S1 (same type asked 3 times) See all 3 of this type

    105
    An urn contains nine balls of which three are red, four are blue and two are green. Three balls are drawn at random without replacement from the urn. The probability that the three balls have different colours is

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  2. Question 2

    Trigonometric Functions. Asked once: 2 May 2023 S1 (same type asked 3 times) See all 3 of this type

    122
    The principal solutions of the equation 3sec⁡x+2=0\sqrt{3}\sec x + 2 = 0 are

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  3. Question 3

    Straight Line. Asked once: 4 May 2023 S2 (same type asked 3 times) See all 3 of this type

    147
    The acute angle between the lines xcos⁡30°+ysin⁡30°=3x\cos30°+y\sin30°=3 and xcos⁡60°+ysin⁡60°=5x\cos60°+y\sin60°=5 is

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  4. Question 4

    Trigonometric Functions. Asked once: 4 May 2023 S1 (same type asked 3 times) See all 3 of this type

    150
    In △ABC\triangle ABC, with usual notations, if b=3b=3, c=8c=8, m∠A=60∘m\angle A=60^\circ, then the circumradius of the triangle is ___ units.

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  5. Question 5

    Complex Numbers. Asked once: 4 May 2023 S2 (same type asked 3 times) See all 3 of this type

    138
    If ∣z1+i∣=2\left|\frac{z}{1+i}\right|=2, where z=x+iy,i=−1z=x+iy, i=\sqrt{-1} represents a circle, then centre 'C' and radius 'r' of the circle are

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