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Published on: 29/10/2025
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Questions + Answers key
Take MCQ Mathematics Test
1.
Graph of linear equation 2x+by+c=0, a≠0, b≠0 cuts x-axis and y-axis respectively at the points:
\(\left(-{c\over a},0\right)\left(0,-{c\over b}\right)\)
\(\left(0,-{c\over b}\right),\left(-{c\over a},0\right)\)
(-c, 0),(0, -c)
(x,0), (y,0)
2.
In the figure, l is the graph of the equation:
y=x
x+y=0
x=2y
y=2x
3.
x=2 and y=-1 in the solution of the equation:
x-y=3
2x+y=-3
x-2y=0
x+y=3
4.
If x represents the present age of father and y represents the present age of the son, then the statement 'present of father is 5 more than 6 times the age of son' in terms of mathematical equation is:
6x+y=5
x=y+30
x+6y=5
x-6y=5
5.
The distance of a point (0,-3) from the origin is:
0 units
Cannot be determined
-3 units
3 units
6.
Mirror image of the point (-1,2) in y - axis is:
(1,2)
(1,-2)
(2,1)
(2,-1)
7.
The co-ordinates of point Q are:
(3,3.5)
(3.5,3)
(-3,3.5)
(-3,-3.5)
8.
The points (-5,2) and (2,-5) lie in the:
Same quadrant
II and III quadrants respectively
II and IV quadrants respectively
IV and III quadrants respectively
9.
What is remainder when \(x^3-2x^2+x+1\) is divided by (x-1)?
0
-1
1
2
10.
The maximum number of zeros of the polynomial p(y)=mya is:
a+1
m
m+1
a
11.
Degree of the polynomial \(p(x)=4x^4+2x^3+x^5+2x+7\) is:
7
4
5
3
12.
The compact form of (x+y)(x-y) is
\((x+y)(x-y)=x^2-y^2\) is an algebraic identity
\(x^2+y^2\)
\(x^2-2xy+y^2\)
\(x^2+2xy+y^2\)
\(x^2-y^2\)
13.
If \({ 8 }^{ x }=\frac { 64 }{ { 2 }^{ x } } \) , then the value of x is
3
1
1/2
3/2
14.
Which of the following is a rational number?
\(1+\sqrt { 3 } \)
\(\pi \)
\(2\sqrt { 3 } \)
0
1.
\(ax+b(0)+c=0 \ \ \ \Rightarrow\ \ \ x=-{c\over a}\)
\(a(0)+by+c=0\ \ \ \Rightarrow\ \ \ y=-{c\over b}\)
2.
(2,2) and (-3,-3) both satisfy y=x
3.
x=2, y=-1 satisfy x-y=3
4.
x=6y+5 ⇒ x-6y=5
5.
(d)
3 units
6.
(a)
(1,2)
7.
(d)
(-3,-3.5)
8.
(c)
II and IV quadrants respectively
9.
\(x-1=0\ \Rightarrow\ x=1\)
Remainder=\((1)^3-2(1)^2+(1)+1=1\)
By remainder theorem
10.
Evident
11.
Highest power of x=5
12.
(a)
\(x^2+y^2\)
13.
(d)
3/2
14.
(d)
0
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