What are the solutions of the equation $x^2+8x+15=0$? 

If $3$ times the third term of an A.P. is equal to $5$ times the fifth term. Then its $8$ term is

If $a, b , c \in R $ and $3b^2 - 8ac < 0$ then the
equation $ax^4 + bx^3 +cx^2 +5x - 7=0$ has

The solution to the equation ${7}^{1+x}+{7}^{1-x}=50$ is

Solve the equation $y^2 + 2y = 40$, correct to $1$ decimal place using trial and improvement method.

The number of solution of $2\cos^2\dfrac{\pi}{2}\sin^2x=x^2+\dfrac{1}{x^2},\;0 \le x \le \dfrac{\pi}{2}$ is 

find the value of $f(2)$ if $f(x)=x^3+x^2+x+1$

The value of $p$ if $\dfrac 3p+\dfrac 4p=1$

Simplify $(3x-11y) -(17x+13y)$ and choose the right answer. 

Solve $\frac { 7 y + 4 } { y + 2 } = \frac { - 4 } { 3 }$

The product of $\left( { 23 x }^{ 2 }{ y }^{ 2 }z \right)$ and $\left( -15{ x }^{ 3 }{ yz }^{ 2 } \right) $ is .........................  .

The number of integers (positive, negative or zero) solutions of
$xy-6(x+y)=0$ with x is less than or equal to y is:

The degree of polynomial $p(x)=x^ {2}-3x-4x^ {3}-6$ is

The method of finding solution by trying out various values for the variable is called

If $a\times b=\frac {a}{b}+\frac {b}{a}-ab$, then the value of $1^*2$ is

If $(8x)^2 + (6x)^2 = d^2$ and $d = 200$, then $8x \times 6x$ is equal to

If $2\pi rh = 2\pi r^2$ and $h = 5$, then r is equal to

Is the following quadratic polynomial reducible or irreducible?
$f(x) = -2x^2-2x-1$

If $\dfrac {1}{x}-\dfrac {1}{y}=\dfrac {1}{z}$, then z is equal to

Which of the following quadratics is irreducible?

x is ........... variable

When multiplicity of a polynomial exist?

Let $R=gS-4$. When $S=8,R= 16$. When $S= 10$, R is

A three-digit number beginning from the left is abc. The number is

Condition for an irreducible quadratic equation is-

The factorized form of $x^5 +x^4-x-1$ is

Solve the simultaneous equations using the convergent iterations:
$5x$ + $y$ + $2z$ = $19$
$2x$ + $3y$ +$8z$ = $39$
$x$ + $4y$ -$2z$ = $-2$

Solve the simultaneous equations using the convergent iterations:
$12x$ + $3y$ - $5z$ = $1$
$x$ + $5y$ +$3z$ = $28$
$3x$ + $7y$ $13z$ = $76$

Find the answer to the equation $x^{3}$ - $2x$ = $25$  to one decimal place using trial and improvement method. 

Use the Zero Product Property to solve the equation $(7x+2) (5x-4)=0$

The solution of the equation ${\left| {x + 1} \right|^2} - \left| {x + 2} \right| - 26 = 0$ is:

$36$ factorized into two factors in such a way that sum of factors is minimum, then the factors are

The first and last term of an A.P. are $1$ and $11$. If the sum of its terms is $36$, then the number of terms will be

Number of real roots of equation 
(x+1) (x+2) (x+3) (x+4) -8 =0 is

If $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } \neq 0 , x = c y + b z , y = a z + c x$ and $z = b x + a y ,$ then $a ^ { 2 } + b ^ { 2 } + c ^ { 2 } + 2 a b c =$

If $f(x) = a{x^7} + b{x^3} + cx - 5 \,\,\,\,\,a,b,c$ are real constants and $f( - 7) = 7$ then the range of $f(7) + 17\cos x$ is

How many distinct real solutions does the equation $((x^2 - 2)^2 - 5)^2 = 1$ have ?

$x$ and $y$ are real numbers such that ${7^x} - 16y = 0\;{\text{and}}\;{4^x} - 49y = 0,$ then the value of $\left( {y - x} \right)$ is

if $3^{x}-3^{x-1}=18$, then $x^{x}$ is equal to

If $\quad y={ log } _{ x }({ log } _{ e }x)({ log } _{ e }x)\quad then\quad \dfrac { dy }{ dx } \quad equals$ to 

The number of ordered pairs of integers (x,y) satisfying the equation
${ x }^{ 2 }+6x+{ y }^{ 2 }=4$ is

The solution set of the system of equations $\log _{ 3 }{ x } +\log _{ 3 }{ y } =2+\log _{ 3 }{ 2 } \quad and\quad \log _{ 27 }{ (x+y) } =\dfrac { 2 }{ 3 } $ is :

Number of real solutions of the equation $\sqrt { \log _{ 10 }{ (-x) }  } =\log _{ 10 }{ \sqrt { { x }^{ 2 } }  } $ is :

Number of solutions satisfying, $\sqrt { 5-{ log } _{ 2 }x } =3-{ log } _{ 2 }x$ are :

Number of ordered pair(s) of (x,y) satisfying the system of equations, $\log _2 xy = 5$ and $\log _{\frac{1}{2}} \frac{x}{y} = 1$ is:

If $H.C.F. \left(a,b\right) = 9$ and $a  . b = 100$, then $L.C.M.\left(a,b\right) =$

Find multiplicity of the polynomial
$f(x) = (x-1)^2(2x+5)^3(x^2+1)^2(x+\pi^2)^4$

The multiplicity of the root $x=1$ for the function $f(x) = x^2(x+1)^3(x-2)^2(x-1)$ is

List the multiplicities of the zeroes of the polynomial $P(x)=x^2-14x+49$

Is the following quadratic polynomial reducible or irreducible?
$f(x) = x^2 - \sqrt2$

If $x=2+\sqrt{3}$, $xy=1$, then $\cfrac { x }{ \sqrt { 2 } +\sqrt { x }  } +\cfrac { y }{ \sqrt { 2 } +\sqrt { y }  } =$.......

The method of finding solution by trying out various values for the variable is called

If $f\left( {x,y} \right) = \sqrt {{x^2} + {y^2}}  + \sqrt {{{\left( {x - 1} \right)}^2} + {y^2}}  + \sqrt {{x^2} + {{\left( {y - 1} \right)}^2}}  + \sqrt {{{\left( {x - 3} \right)}^2} + {{\left( {y - 4} \right)}^2}} $ where $x,y \in R$, then the minimum value of $f\left( {x,y} \right)$ is

$|x - 1| + |x + 3| + |x - 5| = k$
How many values does $k$ have.

Consider the equation $(1 + a + b)^{2} = 3(1 + a^{2} + b^{2})$, where a, b are real numbers.
Then

The equations of the plane through the points $(1,-1,2),(-3,2,-2)$ and perpendicular to the plane $x+2y+3z+7=0$ is