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PREMIER ACADEMY FOR IIT-JEE (MAIN & ADVANCED) | NEET | OLYMPIADS
DAILY PRACTICE PAPER (DPP-04) : MATHEMATICS & PHYSICS
Target 2026 Batch • Time: 90 Mins • Max Marks: 120
SECTION - A (MATHEMATICAL PHYSICS & CALCULUS)
QuestionQ1. Evaluate the definite integral of the function f(x) = x^2 * sin(x) from x = 0 to x = pi/2.
(A) pi - 2
(B) pi/2 - 1
(C) (pi^2)/4 - 2
(D) 2pi - 1
QuestionQ2. Find the roots of the quadratic equation 3x^2 - 12x + 9 = 0 and specify the nature of the roots.
(A) Real and equal: x = 3, 3
(B) Real and distinct: x = 1, 3
(C) Imaginary roots: x = 2 +- i
(D) None of the above
QuestionQ3. A particle moves along a straight line such that its velocity at time t is given by v(t) = 6t^2 - 4t + 3 m/s. Calculate the total displacement between t = 1s and t = 4s.
(A) 96 m
(B) 102 m
(C) 114 m
(D) 128 m
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