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JEE Advanced Mix Test 20

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JEE Advanced Mix Test 20
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  • Question 1
    4 / -1

    Let A, B, C, D be real matrices (not necessarily square) such that AT = BCD, BT = CDA, CT = DAB and DT = ABC, where AT represents transpose of A. Then for the matrix S = ABCD

    Solution

  • Question 2
    4 / -1

    P is the foot of the perpendicular dropped from origin O on the line of intersection of the planes x – 2y + 3z = 5 and 2x + 3y + z + 4 = 0 then

    Solution

  • Question 3
    4 / -1

    k subsets of a set A (having n elements) are chosen at random with replacement. The probability that their intersection is

    Solution

  • Question 4
    4 / -1

    p and q are chosen randomly from the set {1, 2, 3, ...., 10} with replacement. The probability that the roots of the equation x2 + px + q = 0 are

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  • Question 5
    4 / -1

    Solution

  • Question 6
    4 / -1

    Solution

  • Question 7
    4 / -1

    Statement-1 : If two balls are drawn without replacement from an urn containing 3 red and 2 blue balls, then the probability of the event that 'second ball drawn is blue' is 1/4.

    Statement-2 : If two balls are drawn without replacement from an urn containing 3 red and 2 blue balls, then the probability of the event that 'first ball drawn is blue' is equal to the probability of the event that 'second ball drawn is blue'

    Solution

  • Question 8
    4 / -1

    Solution

  • Question 9
    4 / -1

    Solution

  • Question 10
    4 / -1

    If number of distinct terms in a quadratic form is 10, then number of variables in quadratic form is

    Solution

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