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Exam Details

WB JEE 2012

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Questions 7
Duration 60 mins
Package WB JEE- Previous Year Papers

Paper pattern & analysis

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Showing all 7 questions in this paper.

Subject distribution

Mathematics
7 Qs

Topic distribution

Algebra
5 Qs
Calculus
1 Qs
Trigonometry
1 Qs

Subtopic distribution

Sequence And Series
1 Qs
Quadratic Equations
1 Qs
Differential Equations
1 Qs
Matrices And Determinants
1 Qs
Permutations And Combinations
1 Qs
Probability
1 Qs
Properties Of Triangle
1 Qs

Difficulty distribution

Not classified 7 100%

Question type distribution

Multiple Choices 7 100%

Sample questions from this paper

Questions are selected across the paper subjects wherever the paper contains that variety.

1
2012 · Mathematics · Algebra · Sequence And Series
WB JEE 2012
The value of \(\sum\limits_{r = 2}^\infty {{{1 + 2 + .... + (r - 1)} \over {r!}}}\)
A
e
B
2e
C
\({e \over 2}\)
D
\({{3e} \over 2}\)
2
2012 · Mathematics · Calculus · Differential Equations
WB JEE 2012
The general solution of the differential equation \({{dy} \over {dx}} = {{x + y + 1} \over {2x + 2y + 1}}\) is
A
\({\log _e}|3x + 3y + 2| + 3x + 6y = C\)
B
\({\log _e}|3x + 3y + 2| - 3x + 6y = C\)
C
\({\log _e}|3x + 3y + 2| - 3x - 6y = C\)
D
\({\log _e}|3x + 3y + 2| + 3x - 6y = C\)
3
2012 · Mathematics · Trigonometry · Properties Of Triangle
WB JEE 2012
Let p, q and r be the altitudes of a triangle with area S and perimeter 2t. Then, the value of \({1 \over p} + {1 \over q} + {1 \over r}\) is
A
\({S \over t}\)
B
\({t \over S}\)
C
\({S \over {2t}}\)
D
\({{2S} \over t}\)
4
2012 · Mathematics · Algebra · Quadratic Equations
WB JEE 2012
The quadratic equation 2x2 \(-\) (a3 + 8a \(-\) 1)x + a2 \(-\) 4a = 0 possesses roots of opposite sign. Then,
A
a \(\le\) 0
B
0 < a < 4
C
4 \(\le\) a \(\le\) 8
D
a \(\ge\) 8
5
2012 · Mathematics · Algebra · Matrices And Determinants
WB JEE 2012
\(P = \left[ {\matrix{ 1 & 2 & 1 \cr 1 & 3 & 1 \cr } } \right],Q = P{P^T}\), then the value of determinant of Q is
A
2
B
\(-\)2
C
1
D
0
6
2012 · Mathematics · Algebra · Permutations And Combinations
WB JEE 2012
A vehicle registration number consists of 2 letters of English alphabet followed by 4 digits, where the first digit is not zero. Then, the total number of vehicles with distinct registration numbers is
A
262 \(\times\) 104
B
\({}^{26}{P_2}\) \(\times\) \({}^{10}{P_4}\)
C
\({}^{26}{P_2}\) \(\times\) 9 \({}^{10}{P_3}\)
D
262 \(\times\) 9 \(\times\) 103