College Entrance Math Practice

Can you please provide me some Math Practice for collage entrance?

[Shaleen]

Hi there, here are the set of following math questions as pdf files of
West Bengal Joint Entrance Exam which must help you to enhance your math skills :

The coordinates of a moving point p are (2t2+ 4, 4t + 6). Then its locus will be a
(A) Circle
(B) straight line
(C) parabola
(D) ellipse

The equation 8x2+ 12y2– 4x + 4y – 1 = 0 represents
(A) an ellipse
(B) a hyperbola
(C) a parabola
(D) a circle

If the straight line y = mx lies outside of the circle x2+ y2– 20y + 90 = 0, then the value of m will satisfy
(A) m < 3
(B) |m| < 3
(C) m > 3
(D) |m| > 3

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

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)

The intercept on the line y = x by the circle x2+ y2– 2x = 0 is AB. Equation of the circle with AB as diameter is
(A) x2 + y2 = 1
(B) x(x – 1) +y(y – 1) = 0
(C) x2 + y2 = 2
(D) (x –1)(x–2)+(y–1)+(y–2)= 0

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)

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

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

If y = 2x3 – 2x2 + 3x – 5, then for x = 2 and x = 0.1 value of y is
(A) 2.002
(B) 1.9
(C) 0
(D) 0.9

Remaning such questions can be provided from such pdf file provided below: