Explore topic-wise MCQs in Maths.

If $$ {a^{x}={(x+y+z)^{y}}}, a^{y}=(x+y+z)^{z} and a^{z}=(x+y+z)^{x}$$ then the value of (x +y +z) is

If a =500, b=502 and c=504, then the value of a³ +b³ +c³-3abc

If $$ {8x over{2x^{2}+7x-2}}=1, x>0,$$ then what is the value of of $$ {x^{3}+{1 over x^{3}}}$$ ?

If x+y=10 and xy=4, then what is the value of x⁴+y⁴=?

If $$ m+{1 over m-2}=0$$ then the value of $$ (m-2)^{12}+{1 over{(m-2)}^{12}} $$ is.

If x + y = 1 and xy (xy 2) = 12,then the value of x⁴ + y⁴ is:

If (27x³ 343y³) (3x 7y) = Ax² +By² + 7Cyx, then the value of (4A B +5C) is:

Which of these options is correct?

2x+3y=10 has?

If $$ x= sqrt{ sqrt{5}+1 over { sqrt{5}-1}}$$ then the value of $$ {5x^2-5x-1}$$ will be:

If $$ {x=a^{2 over3}-a^{-2 over3}}$$ then the value of $$ {x^{3}+3x}$$.

If (a-b)=-3 , (b-c)=5 and (c-a)=-2, then the value of $$ {a^{3}+b^{3}+c^{3}-3abc over a+b+c}$$.

If $$ {a={1+x over 2-x}}$$, then find the value $$ {1 over {a+1}}+{2a+1 over{a^{2}-1}}$$ ?

If a=25, b=15 , c=-10 then find the value of $$ {a^{3}+b^{3}+c^{3}-3abc over {(a-b)^{2}+(b-c)^{2} +(c-a)^{2}}}$$

If pq+qr+rp=0 then find the value of $$ {p^{2} over {p^{2}-qr}}+{q^{2} over {q^{2}-rp}}+{r^{2} over {r^{2}-pq}}$$

If P= 2² + 6² + 10² +14² + ..94² and Q=1² + 5² + 9² + ..81², then what is the value of P- Q ?

If x+y+z=22 and xy+yz+zx=35, then what is the value of (x-y)² +(y-z)²+(z-x)²?

If $$ {x^4}+{1 over{x^4}}$$ then find $$ {x^3}-{1 over{x^3}}=?$$

If (x+y+z)=12, xy+yz+zx=44 and xyz=48, then what is the value of x³+y³+z³=?

If $$ {(x-5)^{2} +{(y-2)^{2}}+{(z-9)^{2}=0}}$$ then what is the value of (x+y-z)?

If a = 2.234, b = 3.121 and c = 5.355, then the value of $$ a^3 + b^3 + c^3 3abc$$ is

If x = 2 then the value of $$ x^3 + 27x^2 + 243x + 631$$ is:

If $$ {x+{1 over 16x}}=1 $$, then $$ {64x^{3}+{1 over 64x^{3}}}$$ will be:

simplify the following equation
$$ (1-{1 over3})(1-{1 over4})(1-{1 over5})......(1-{1 over n})$$

Given that 10^0.48 = x, 10^0.70 = y and x² = y², then the value of z is close to

Find the value of n when $$ {n= sqrt{n+ 2 sqrt{n+2 sqrt{n+2 sqrt{3n}}}}}$$

If $$ {x^{2}+3{x}+1=0}$$, then the value of $$ {x^{3}+{1 over {x^{3}}}}$$

If $$ {x=2-2^{1 over 3}+2 ^{2 over 3}}$$, then the value of $$ {x^{3}-6x^{2}+18x+18}$$.

If $$ {(x+{1 over{x}})^{2}}=3$$, the value of of $$ {x^{206}+x^{200}+x^{90}+x^{84}+x^{18}+x^{12}+x^{6}+1}$$

If $${x}^2+{y}^2x+1=0$$ then the value of $$x^{31}+y{35}$$ is

If $$ x={ sqrt3 over{2}}$$ then the value of $$ sqrt{1+x}- sqrt{1-x}$$ will be

What is the area (in sq. cm) of a rhombus if the lengths of the diagonals are 12 cm and 14 cm ?

Given k = -3. Find the value of $$ {k^3+3k}$$.

lf p + m = 6 and p³ + m³ = 72, then the value of pm is:

If $$x=( sqrt2+1)^{1 over3} $$, the value of $$(x^3-{1 over {x^3}}) $$ is

Sum of the factors of 4b²c²-(b²+c²-a²)² is :

Find the value of a and b if (x-1) and (x+1) are factors of x⁴+ax³-3x²+2x+b

If a-b=1 and a³-b³=61, then the value of ab will be

If p=99, then the value of p(p²+3p+3) will be

If a b + b a =1, then the value of a³+b³ will be

What will be the value of x³+y³+z³-3xyz when x+y+z=9 and x²+y²+z²=31?

If a+b=2c, find $${a over a-c}+{c over b-c}?$$

If a-6b = 3 then the value of a³-216b³-54ab is :

If $$ sqrt{a}+ sqrt{b}=15 and ( sqrt{a}- sqrt{b} )=3$$ then the value of $$ sqrt{ab/4} $$ is

Find the minimum value of x which the expression
x³-7x²+11x - 5 0.

$$ {x^{8}+4 over{x^{4}+2x^{2}+2}}$$ is equal to

If a=x+y, b=x-y, c=x+2y, then $$ {a^2+b^2+c^2}-ab-bc-ca $$ is

If a+b+c=15 and a²+b²+c²=83 then the value of a³+b³+c³-3abc

If x = a - b, y = b - c, z = c - a, then the numerical value of the algebraic expression x³ +y³ + z³ -3xyz will be

If a=34, b=c=33, then the value of a3+b3+c3-3abc is