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Mathematics Tes...

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  • Question 1
    4 / -1

    How many terms of the series :  + ..... amounts to  ? 

  • Question 2
    4 / -1

    If a,b,c are in harmonic progression, then  are in -

  • Question 3
    4 / -1

    The complete set of values of m, for which function ƒ(x) = cos2x + ax + 7 is monotonic, is

  • Question 4
    4 / -1

    Equation of the normal to the curve y = x2 which passes through (6, 3) is given by -

  • Question 5
    4 / -1

    Let ƒ(x) = 3x2 and g(x) = 2x3 + 1 are two curves and L is the equation of tangent at the point where ƒ(x) and g(x) touch each other

    Which of the following options is/are correct ? 

  • Question 6
    4 / -1

    Let ƒ(x) = 3x2 and g(x) = 2x3 + 1 are two curves and L is the equation of tangent at the point where ƒ(x) and g(x) touch each other

    Which of the following option(s) is/are correct ?

  • Question 7
    4 / -1

    A geometric series has first term 'a' and common ratio 'r'. The second term of the series is 4 and the sum upto infinite terms of the series is 25

    The values of 'a' can be -

  • Question 8
    4 / -1

    A geometric series has first term 'a' and common ratio 'r'. The second term of the series is 4 and the sum upto infinite terms of the series is 25

    The smallest value of n for which Sn exceeds 24 is/are -

  • Question 9
    4 / -1

     

    List-I List-II
    (P) ƒ (x) = x5 – 5x4 + 5x3 – 10 has local maxima and minima at x = ℓ and x = m respectively then 2ℓ +m is  (1) 4
    (Q) Ladder of length 5m leaning against a wall is being pulled along the ground at 2 cm/s. When the foot of the ladder is 4m away from the wall if the top of the ladder slides down on the wall at 8/λ cm/s, then λ = (2) 5
    (R) If ƒ (x) = x – 2 sinx, 0 ≤ x ≤ 2π is increasing in the interval [aπ, bπ] then
    a + b is    		 (3) 3
    (S) If equation of the tangent to the curve
    y = –e–x/2, where it crosses the y-axis
    is , then p – 2q is    		 (4) 2

  • Question 10
    4 / -1

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