As you requires I am here giving you model question paper for West Bengal Joint Entrance Exam (WBJEE).

WBJEE Model Question Paper:

The locus of the centre of a circle which passes through two variable points (a, 0), (–a, 0) is
(A) x = 1 (B) x + y = a (C) x + y = 2a (D) x = 0
Ans : (D)

The coordinates of the two points lying on x + y = 4 and at a unit distance from the straight line 4x + 3y = 10 are
(A) (–3, 1), (7, 11) (B) (3, 1), (–7, 11) (C) (3, 1), (7, 11) (D) (5, 3), (–1, 2)
Ans : (B)

If the coordinates of one end of a diameter of the circle x2+y2+4x–8y+5=0, is (2,1), the coordinates of the other end is
(A) (–6, –7) (B) (6, 7) (C) (–6, 7) (D) (7, –6)
Ans : (C)

If the three points A(1,6), B(3, –4) and C(x, y) are collinear then the equation satisfying by x and y is
(A) 5x + y – 11= 0 (B) 5x + 13y + 5 = 0 (C) 5x –13y + 5 = 0 (D) 13x –5y +5 = 0
Ans : (A)

The number of solutions of 2sinx + cos x = 3 is
(A) 1 (B) 2 (C) infinite (D) No solution
Ans : (D)

If sinq and cosq are the roots of the equation ax2 – bx + c = 0, then a, b and c satisfy the relation
(A) a2 + b2 + 2ac = 0 (B) a2 – b2 + 2ac = 0
(C) a2 + c2 + 2ab = 0 (D) a2 – b2 – 2ac = 0
Ans : (B)


If A and B are two matrices such that A+B and AB are both defined, then
(A) A and B can be any matrices (B) A, B are square matrices not necessarily of the same order
(C) A, B are square matrices of the same order (D) Number of columns of A = number of rows of B
Ans : (C)

The equation of the locus of the point of intersection of the straight lines x sin q + (1 – cos q) y = a sin q and x sin q – (1 +
cos q) y + a sin q = 0 is
(A) y ± ax (B) x = ± ay (C) y2 = 4x (D) x2 + y2 = a2
Ans : (D)


Let a , b, c be three real numbers such that a + 2b + 4c = 0. Then the equation ax2 + bx + c = 0
(A) has both the roots complex (B) hat its roots lying within – 1 < x < 0
(C) has one of roots equal to1/2
(D) has its roots lying within 2 < x < 6
Ans : (C)

Here is the attachment.

Attached Files

WBJEE Model question paper.pdf (379.9 KB, 51 views)