(Paper) Maths Objective Type Questions with Answers for the preparatin of Engineering Entrance Test : AIEEE, IIT-JEE, CET
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Mathematics Objective Type Questions with Answers for the preparation of Engineering Entrance Test : AIEEE, IIT-JEE, CET
(Important For 10+1 & 10+2 Science Students)
Test
6
(1) The area enclosed between the curve y =
loge (x + e) and the coordinate axes is
(a) 1
(b) 2
(c) 3
(d) 4
Answer (a) 1
(2) If x dy/dx = y (log y − log x + 1), then
the solution of the equation is
(a) y log(x/y) = cx
(b) x log(y/x) = cy
(c) log(y/x) = cx
(d) log(x/y) = cy
Answer (c) log(y/x) = cx
(3) The line parallel to the x−axis and passing
through the intersection of the lines ax + 2by + 3b = 0 and bx − 2ay − 3a = 0,
where (a, b) ≠ (0, 0) is
(a) below the x−axis at a distance of
3/2 from it
(b) below the x−axis at a distance of
2/3 from it
(c) above the x−axis at a distance of
3/2 from it
(d) above the x−axis at a distance of
2/3 from it
Answer (a) below the x−axis at a distance of 3/2 from it
(4) ∫ cosx
(a) tanx
(b) secx
(c) sinx
(d) -sinx
Answer (c) sinx
(5) The angle between the lines 2x = 3y = − z
and 6x = − y = − 4z is
(a) 0 Degree
(b) 90 Degree
(c) 45 Degree
(d) 30 Degree
Answer (b) 90 Degree
(6) If the plane 2ax − 3ay + 4az + 6 = 0 passes through the midpoint of the line
joining the centres of the spheres
x2 + y2 + z2 + 6x − 8y − 2z = 13 and
x2 + y2 + z2 − 10x + 4y − 2z = 8, then a equals
Here 2 is read as Square
(a) − 1
(b) 1
(c) − 2
(d) 2
Answer (c) − 2
(7) If non-zero numbers a, b, c are in H.P., then the straight line x/a + y/b +
z/c always passes through a fixed point. That point is
(a) (-1, 2)
(b) (-1, -2)
(c) (1, -2)
(d) (1, -1/2)
Answer (c) (1, -2)
(8) If a vertex of a triangle is (1, 1) and the mid-points of two sides through
this vertex are (-1, 2) and (3, 2), then the centroid of the triangle is
(a) (-1, 7/3)
(b) (-1/3, 7/3)
(c) (1, 7/3)
(d) (1/3, 7/3)
Answer (c) (1, 7/3)
(9) If the circles x2 + y2 + 2ax + cy + a = 0
and x2 + y2 – 3ax + dy – 1 = 0 intersect in two distinct points P and Q then the
line 5x + by – a = 0 passes through P and Q for
(a) exactly one value of a
(b) no value of a
(c) infinitely many values of a
(d) exactly two values of a
Here 2 is read as Square
Answer (b) no value of a
(10) A circle touches the x-axis and also touches the circle with centre at (0,
3) and radius 2. The locus of the centre of the circle is
(a) an ellipse
(b) a circle
(c) a hyperbola
(d) a parabola
Answer (d) a parabola
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