WBJEE Subjective Mathematics Sample Paper III

# WBJEE Subjective Mathematics Sample Paper III | WBJEE Sample Papers, Section Wise & Full Mock Tests 2024 PDF Download

Question: 1. A train moving with constant acceleration takes t seconds to pass a certain fixed point and the front and back end of the train pass the fixed point with velocities u and v respectively. Show that the length of the trai is
Ans: v = u + at

Question: 2. Show that​

Ans:

Question: 3. If x = sin t, y = sin 2t, prove that

Ans:

Question: 4. Show that, for a positive integer n, the coefficient of xk (0 ≤ K ≥ n) in the expansion of

Ans:
Coefficient of      Coefficient of

Question: 5. If m, n be integers, then find the value of
Ans:

(Odd .....)

Question: 6. Find the angle subtended by the double ordinate of length 2a of the parabola y2 = ax at its vertex
Ans:

y2 = ax, a2 = ax, a = x    [ put y = a]
A (a, a), B(a, –a)

Question: 7.  If f is differentiable at x = a, find the value of

Ans:

Question: 8. Find the values of ‘a’ for which the expression x2 – (3a – 1)x + 2a2 + 2a – 11 is always positve.
Ans: x2 – (3a – 1) x + 2a2 + 2a – 11 > 0
D < 0
(3a – 1)2 – 4 (2a2 + 2a –11) < 0
9a2 – 6a + 1 – 8a2 – 8a + 44 < 0
a2 – 14a + 45 < 0
(a – 9) (a – 5) < 0
5 < a < 9

Question: 9. Find the sum of the first n terms of the series 0.2 + 0.22 + 0.222 + ..........
Ans:

Question: 10. The equation to the pairs of opposite sides of a parallelogram are x2 – 5x + 6 = 0 and y2 – 6y + 5. Find the equations of its diagonals.
Ans: x = 2 ......(i)
x = 3 ...... (ii)
y = 1 .... (iii)
y = 5 ..... (iv)
A (2, 1), B (3, 1), C (3, 5), D(2, 5)
Equation of AC

4x – 8 = y – 1, 4x – y – 7 = 0
Equation of BD

4x + y – 13 = 0

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## FAQs on WBJEE Subjective Mathematics Sample Paper III - WBJEE Sample Papers, Section Wise & Full Mock Tests 2024

 1. What are the topics covered in the WBJEE Mathematics Exam?
Ans. The WBJEE Mathematics Exam covers various topics such as algebra, trigonometry, calculus, coordinate geometry, probability, and statistics.
 2. How many questions are there in the WBJEE Mathematics Exam?
Ans. The WBJEE Mathematics Exam consists of 75 questions in total.
 3. Are there negative markings in the WBJEE Mathematics Exam?
Ans. Yes, there is a provision for negative marking in the WBJEE Mathematics Exam. For each incorrect answer, 0.25 marks will be deducted.
 4. How much time is allowed to complete the WBJEE Mathematics Exam?
Ans. The WBJEE Mathematics Exam has a duration of 2 hours. Candidates need to manage their time efficiently to attempt all the questions within the given time frame.
 5. Is there any specific syllabus for the WBJEE Mathematics Exam?
Ans. Yes, there is a specific syllabus provided for the WBJEE Mathematics Exam. Candidates must refer to the official WBJEE website or the exam brochure to get the detailed syllabus for mathematics.

## WBJEE Sample Papers, Section Wise & Full Mock Tests 2024

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 Doc | 2 pages
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