Q.1
If $$x + \frac{1}{x} = 5{\text{,}}$$   then the value of $$\frac{{{x^4} + 3{x^3} + 5{x^2} + 3x + 1}}{{{x^4} + 1}} = ?$$
Q.2
If x = 3 + 2$$\sqrt 2 $$ and xy = 1, then the value of $$\frac{{{x^2} + 3xy + {y^2}}}{{{x^2} - 3xy + {y^2}}}$$   is?
Q.3
If x - y = 2, xy = 24, then the value of (x2 + y2) is?
Q.4
If the expression $$\frac{{{x^2}}}{{{y^2}}} + tx + \frac{{{y^2}}}{4}$$ &nbsp is a perfect square, then the value of t is?
Q.5
The graph of linear equation y = x passes throughout the point ?
Q.6
If $$\frac{{4x}}{3} + {\text{2P}} = 12$$    for what value of P, x = 6?
Q.7
The area (in sq. unit) of the triangle formed by the graphs of the equations x = 4, y = 3 and 3x + 4y = 12 is?
Q.8
If $${64^{x + 1}} = \frac{{64}}{{{4^x}}}{\text{,}}$$   then the value of x is?
Q.9
If ax2 + bx + c = a(x - p)2, then the relation among a, b, c would be?
Q.10
If p = 124, then the value of $$\root 3 \of {p\left( {{p^2} + 3p + 3} \right) + 1} = ?$$
Q.11
If $$x + \frac{1}{x} = 2$$   and x is real, then the value of $${x^{17}}{\text{ + }}\frac{1}{{{x^{19}}}}\,{\text{is?}}$$
Q.12
If $$x + \frac{1}{{4x}} = \frac{3}{2}{\text{,}}$$   find the value of $${\text{8}}{x^3}{\text{ + }}\frac{1}{{8{x^3}}} = ?$$
Q.13
If a + b = 1 and a3 + b3 + 3ab = k, then the value of k is?
Q.14
The lines 2x + y = 5 and x + 2y = 4 intersect at the point?
Q.15
If x is real, $$x + \frac{1}{x} \ne 0$$   and $${x^3}{\text{ + }}\frac{1}{{{x^3}}} = 0{\text{,}}$$   then the value of $${\left( {x + \frac{1}{x}} \right)^4}\,{\text{is?}}$$
Q.16
If a2 + b2 + c2 + 3 = 2(a + b + c) then the value of (a + b + c) is?
Q.17
If $$x - \frac{1}{x} = 5{\text{,}}$$   then $${x^2}{\text{ + }}\frac{1}{{{x^2}}}$$   is?
Q.18
If a + b + c = 0, then the value of $$\frac{1}{{\left( {a + b} \right)\left( {b + c} \right)}} + $$   $$\frac{1}{{\left( {a + c} \right)\left( {b + a} \right)}} + $$   $$\frac{1}{{\left( {c + a} \right)\left( {c + b} \right)}}$$   $$ = ?$$
Q.19
If x2 + y2 - 4x - 4y + 8 = 0, then the value of x - y is?
Q.20
If x : y = 3 : 4, then the value of $$\frac{{5x - 2y}}{{7x + 2y}} = ?$$
Q.21
If $$\frac{{2p}}{{{p^2} - 2p + 1}} = \frac{1}{4}{\text{,}}$$    p ≠ 0 then the value of $$p + \frac{1}{p}\,{\text{is?}}$$
Q.22
If a3b = abc = 180, a, b, c are positive integers, then the value of c is?
Q.23
If $${x^2} - 3x + 1 = 0,$$    then the value of $${x^3}{\text{ + }}\frac{1}{{{x^3}}}\,{\text{is?}}$$
Q.24
If $$3x + \frac{1}{{2x}} = 5{\text{,}}$$   then the value of $${\text{8}}{x^3}{\text{ + }}\frac{1}{{27{x^3}}}\,{\text{is?}}$$
Q.25
If x + y = z, then the expression x3 + y3 - z3 + 3xyz will be equal to?
Q.26
If a3 - b3 - c3 - 3abc = 0, then -
Q.27
If $$n = 7 + 4\sqrt 3 {\text{,}}$$   then the value of $$\left( {\sqrt n + \frac{1}{{\sqrt n }}} \right)$$   is:
Q.28
If x = b + c - 2a, y = c + a - 2b, z = a + b - 2c, then the value of x2 + y2 - z2 + 2xy is?
Q.29
If $$x + \frac{1}{x} = \sqrt 3 {\text{,}}$$   then the value of x18 + x12 + x6 + 1 is?
Q.30
If $${a^{\frac{1}{3}}} = 11,$$   then the value of a2 - 331a is?
0 h : 0 m : 1 s