| 1 |
If the vector 2i+4j-2k and 2i +6j+xk are perpendicular then x-7 |
4
8
14
7
|
| 2 |
If the angle between two vectors with magnitude 8 and 2 is 60° then their scalar product is |
12
8
16
1
|
| 3 |
The direction cosines of y-axis are |
1,0,0
0,1,0
0,0,1
1,1,1
|
| 4 |
If i,m,n are the direction cosines of a vector O̅P̅ then |
I<sup>2</sup> + m<sup>2</sup> + n<sup>2</sup> =0
I<sup>2</sup> - m<sup>2</sup> + n<sup>2</sup> =1
I<sup>2</sup> + m<sup>2</sup> + n<sup>2</sup> =1
I<sup>2</sup> + m<sup>2</sup> - n<sup>2</sup> =0
|
| 5 |
The magnitude of a vector can never be |
Zero
Negative
Positive
Absolute
|
| 6 |
Unit vector in the positive direction of x-axis is |
î
ĵ
k̂
All
|
| 7 |
The two different parts of the hyperbola are called is |
Vertices
Directrices
Nappes
Branches
|
| 8 |
The line through the center and perpendicular to the transverse axis is called the |
Major axis
Minor axis
Focal axis
Conjugate axis
|
| 9 |
The vertices of the ellipse x2 + 4y2 = 16 are |
(±,4,0)
(0,±,4)
(± 2,0)
(0,± 2)
|
| 10 |
The end points of the major axis of the ellipse are called its |
foci
Vertices
Co-vertices
eccentricity
|
| 11 |
The axis of the parabola y2 = 4ax is |
x =0
Y =0
X = y
X = -y
|
| 12 |
The conic is a parabola if |
e <1
e > 1
e = 1
e = 0
|
| 13 |
The perpendicular bisector of any chord of a circle |
Passes through the center of the circle
Does not pass through the center of the circle
May or may not pass through the center of the circle
None of these
|
| 14 |
The equation of the normal to the circle x2 + 22 = 25 at (4,3) is |
3x -4y =0
3x -4y= 5
4x + 3y=5
4x - 3y =25
|
| 15 |
The circle (x -2)2 + (y + 3)2 =4 is not concentric with the circle |
(x -2)<sup>2</sup> + (y + 3)<sup>2</sup> =9
(x +2)<sup>2</sup> + (y - 3)<sup>2</sup> =4
(x -2)<sup>2</sup> + (y + 3)<sup>2</sup> =8
(x -2)<sup>2</sup> + (y + 3)<sup>2</sup> =5
|
| 16 |
The radius of the circle (x- 1)2 + (y + 3)2 =64 is |
8
2√2
4
64
|
| 17 |
The equation of the circle with center origin and radius 2√2 is |
x<sup>2</sup> + y<sup>2</sup> = 2√2
x<sup>2</sup> + y<sup>2</sup> = 8
x<sup>2</sup> - y<sup>2</sup> = 2√2
x<sup>2</sup> - y<sup>2</sup> = 8
|
| 18 |
If a cone is cut by a plane perpendicular to the axis of the cone then the section is a |
Parabola
Circle
Hyperbola
Ellipse
|
| 19 |
8 > t then |
(s -t) <sup>2</sup>>(t -8)<sup>2</sup>
(s -t) <sup>2</sup><(t -8)<sup>2</sup>
(s -t) <sup>2</sup>=(t -8)<sup>2</sup>
None
|
| 20 |
Ab > 0 and a > 0 then |
a > b
a < b
a = b
None
|
| 21 |
r + 3 > 5 then which is true |
r + 2 > 4
r + 2 < 4
r + 2 + 4
None
|
| 22 |
x is a member of the set {-1,0,3,5} y is a member of the set {-2,1,2,4} which is possible? |
x- y =-6
x -y < -6
x -y > 6
None
|
| 23 |
The total cost of 2 apples and 3 oranges is $1.70,which of the following is true |
The cost of one apple
The cost of one orange
Both have equal cost per item
Cost of each single item can not be determined
|
| 24 |
If p and r are integers P = 0, and p ≠ -r, which of the following must be true? |
p < r
p > r
p + r < 0
p - r < -0
|
| 25 |
If -1 < x < 0, which of the following statement must be true? |
x < x<sup>2</sup> < x<sup>2</sup>
x < x<sup>3</sup> < x<sup>2</sup>
x<sup>2</sup> < x<sup>3</sup> < x
x<sup>2 </sup>< x < x<sup>3</sup>
|
| 26 |
For which of the following ordered pairs (s,t) is s + t> and s- t < -3? |
(3,2)
(2,3)
(1,8)
(0,3)
|
| 27 |
Which is in the solution set of 4x - 3y <2 |
(3,0)
(4,1)
(1,3)
None
|
| 28 |
A point of a solution region where two of its boundary lines intersect is called |
Boundary
Inequality
Half plane
Vertex
|
| 29 |
Which is not a half plane |
ax + by < c
ax + by > c
Both A and B
None
|
| 30 |
If 4 - x > 5, then |
x > 1
x > -1
x < 1
x < -1
|
| 31 |
If ab > 0 and a < 0, which of the following is negative? |
b
-b
-a
(a - b)<sup>2</sup>
|
| 32 |
If x < y, 2x = A and 2y = B then |
A =B
A < B
A< X
B < y
|
| 33 |
If a line passes through origin then the equation of the line is |
y = m/x
y = mx
x = my
None
|
| 34 |
The angle a (0° < a< 180°) measured counterclockwise from positive x-axis to a non-horizontal straight line / is called the |
Rotation
Inclination
Radian
None
|
| 35 |
The center of a circle of radius 10 is on the origin which of the following points lies with in the circle |
(10,0)
(8,8)
(8,4)
(0,10)
|
| 36 |
If k1 : k2 = 1:1 then the point P dividing the line is |
Mid point
Extreme left point
Extreme Right point
Plies out side k<sub>1</sub> and k<sub>2</sub>
|
| 37 |
If the diagonal of a square has coordinates (1,2) and(5,6) the length of a side is |
3
4
1
5
|
| 38 |
Which of the following is the equation of a line with slope 0 and passing through the point (4,3) |
X =4
X = -4
Y = 3
Y = -6
|
| 39 |
The curves y =x2, y= x interest at |
(0,0) ,(1,1)
(2,4)
(0,),(2,4)
(0,3),(-1,1)
|
| 40 |
The equation of the line with gradient 1 passing through the point (h,k) is |
Y = x+ k-h
Y = k/hx +1
Y = x + h -l
Ky = hx =1
|
| 41 |
The line joining (1,3) to (a,b) has unit gradient then |
a-b =-2
a+b = 0
A-b =5
2a + 3b =1
|
| 42 |
The gradient of the line joining (1,4) and (-2,5) is |
3/8
-2 2/3
-1/3
2
|
| 43 |
The mid point of the line joining (=1,-3) to(3,-5) is |
(1, 1)
(1,-1)
(2, -8)
(1, -4)
|
| 44 |
The point (-5,3) is the center of a circle and P(7,-2) lies on the circle the radius of the circle is |
2
13
7
8
|
| 45 |
The general solution of the differential equation dy/dx = log x is |
Y = -x log x- x +c
Y = x log x + x<sup>2</sup>
Y = x log x -x +c
Y= 2x log x + 2x +c
|
| 46 |
∫cot (ax + b) dx = |
1/a log |sin (ax + b)| +c
1/a log |cos ax + b)
1/b |sin (ax + b)|
1/a log |sin (bx + a)|
|
| 47 |
∫sec (ax + b) tan(ax + b) dx=_______ |
sec(ax + b)/a
sec<sup>2</sup> (ax + b)/2
sec(ax + b)/x
1/2
|
| 48 |
If f1 (x) and f2 (x) are any two anti derivatives of a function F (x) then the value of f1 (x) = f2 (x) |
A variable
A constant
Undefined
Infinity
|
| 49 |
d/dx ∫x1 dx =________. |
1/4 x<sup>4</sup>
X<sup>3</sup>
3x<sup>3</sup>
x<sup>4</sup>/4
|
| 50 |
∫1/ax +b dx = |
1/a log |ax + b| +c
Log |ax + b| +c
1/b log |ax +b| +c
1/x log |ax + b| +c
|
| 51 |
If y = sin(ax + b) then fourth derivative of y with respect to x= |
a<sup>4</sup> cos (ax + b)
a<sup>4</sup> sin (ax + b)
-a<sup>4</sup> sin(ax +b)
a4 tan (ax + b)
|
| 52 |
Any point where f is neither increasing nor decreasing and f(x) =0 at that point is called a |
Minimum
Maximum
Stationary point
Constant
|
| 53 |
Derivative of strictly increasing function is always |
Zero
Positive
Negative
Both A and B
|
| 54 |
Second derivative of y = x9 + 10x2 + 2x -1 at x = 0 is |
10
20
12
1
|
| 55 |
d/dx [cos x2] =________ |
-2x cos x<sup>2</sup>
-2x<sup>2</sup> sin x<sup>2</sup>
x<sup>2</sup> sin x
-2x<sup>2</sup> sin x<sup>2</sup>
|
| 56 |
If y = (ax)m + bm, then dy/dx equals |
m (ax)<sup>m</sup> x<sup>m-1</sup>
ma<sup>m</sup> x<sup>m-1</sup>
m a<sup>m</sup> x<sup>m-1</sup>
m a<sup>m</sup> x<sup>m-2</sup>
|
| 57 |
d/dx (3y4) = |
12y<sup>3</sup> dy/dx
8y<sup>3</sup>
8y<sup>3</sup> dy/dx
12y<sup>3</sup>
|
| 58 |
d/dx (√x) = |
2√x
1/√x
1/2√x
None of these
|
| 59 |
d/dx ax is |
xa<sup>x-1</sup>
a<sup>x</sup>
x in a
a<sup>x</sup> in a
|
| 60 |
If x2 +y2 = 4, Then dy/dx = |
2x +2y
4 -x<sup>2</sup>
-x/y
y/x
|
| 61 |
The parametric equation of a curve are x = t2, y = t2 then |
dy/dx =3t/2
dy/dx =t<sup>5</sup>
dy/dx =5t<sup>4</sup>
None
|
| 62 |
In the function v = 4/3 π r3, V is a function of |
3/4
r
v
π
|
| 63 |
F(x) = xx decreases in the interval |
(0,e)
(0.1)
(-∞.0)
None
|
| 64 |
The area of circle of unit radius= |
0
1
4
π
|
| 65 |
Domain of Y = csc x is |
R - nπ, n ε I
R
R -nπ/2,nεI
All negative Integers
|
| 66 |
Graph of the equation X2 + y2 = 4 is |
a circle
an ellipse
a parabola
A square
|
| 67 |
The range of inequality x + 2 > 4 is |
(-1,2)
(-2,2)
(1,∞)
None
|
| 68 |
A function F(x) is called even if |
F(x) = F(-x)
F(x) = F(-x)
F(x) = -F(x)
2F(x) = 0
|
| 69 |
The Domain of f(x) = log x is |
[0,∞]
(0, ∞)
[0,∞[
[∞ ,∞]
|
| 70 |
If f(x) : A → B and g (x) : A → B then Dom [f(x) + g(x)] is |
Dom f(x) ∩ Dom g (x)
Dom f(x) ∪ Dom g(x)
[Domf(x)]<sup>2</sup> - [Dom g(x)]<sup>2</sup>
[Dom g(x)]<sup>2 </sup>-[Domf(x)]<sup>2</sup>
|
.gif)
Home
News
Colleges
Courses
Admission
Lectures
Online Test
Past Papers
Date Sheets
Results
Study Abroad
Jobs
Tutors
More
Apps
