Practice Algebra Questions and Answers
- If x, y and z are real numbers such that (x-5)2+(y-8)2+(z-12)2= 0 then (x+y+z) is equal to
- If x = 6 + 2√5, then the value of √x - (1/√x)?
- If (x –1.3)3+(x–1.4)3+(x–1.5)3 = 3(x–1.3)(x–1.4)(x–1.5), Then x = ?
- If (x –4)3+(x–5)3+(x–6)3 = 3(x–4)(x–5)(x–6), Then x = ?
- 1/3 + 1/15 + 1/35 + 1/63 + 1/99 = ?
- if a2 + b2 + c2Â =Â 2(4a -5b -6c)-77 , then a-b-c = ?
- if a2 + b2 + c2Â =Â 2(3a -5b -6c)-70 , then a-b-c = ?
- if a2 + b2 + c2Â =Â 2(4a -5b -9c)-122 , then a-b-c = ?
- then value of x is....
- If x = 19, then the value of x5 - 20x4 + 20x3 - 20x2 + 20x - 1 is
- If x = 35, then the value of x5 - 36x4 + 36x3 - 36x2 + 36x - 1 is
- If x = 99, then the value of x5 - 100x4 + 100x3 - 100x2 + 100x - 1 is
- If p = 11, then what is the value of    is...
- If a = 55, then what is the value of is ...
- [a/(2a²  + 5a + 2)] = 1/6 , then find the value of (a+1)/a ?
- If (x24Â +Â 1)/x12Â = 7, then the value of (x72Â +Â 1)/x36Â isÂ
- If x – 1/x = 9, then x3 – 1/x3 is:
- The coefficient of ‘b2’ in (3a + b)3 is
- If (x – 3) is a factor of (x2 + 4qx – 2q), then the value of q is:
- if x2 – 2x + 1 = 0, then find the value of (x7 + x5 + x4 + x2)/x ?
- If x2 – 10x + 20 = 0, then find the value of (x – 3)2 + 1/(x – 3)2
- Length of each side of a rhombus is 13 cm and one of the diagonal is 24 cm. What is the area (in cm2) of the rhombus?
- If x + y + z = 6, and x3 + y3 + z3 = 36, xyz = 6 then find (xy +yz + zx)?
- If x4 + x3 + x2 + x + 1 = 0, then find the value of x1525 + x720 + 14 + x320 =?
- If (a – 8) 2  + (b + 2) 2 + (c – 3) 2  = 0, then find the value √(a +b + c). ...
- If a² + c² + 17 = 2(a - 8b - 2c²), then what is the value of (a³ + b³ + c³)?
- If (54√2 x³ +24√3 y³)÷(√18 x + √12 y) = Ax² + By² + Cxy, then what is the value of A² - (B² + ...
- A takes 8 hours more than the time taken by B to cover a distance of 160 km. If A doubles his speed. he takes 3 hours more than B to cover the same distanc...
- The curved surface area of a cylinder is 462 cm² and its base area is 346.5 cm². What is the volume (in cm³) of the cylinder? (Use π = 22...
- If cos(A - B) = √3/2 and cot(A + B) = 1/√3, where A - B and A + B are acute angles, then (2A - 3B) is equal to:
- If x + y + z = 7, x² + y² + z² = 85 and x³ + y³ + z³ = 842, then the value of √3 xyz is: ...
- Find the value of 3/4 cot² 30° + cos² 30°-3cosec²60° + tan² 60°.
- In a triangle ABC, a point D lies on AB and points E and F lie on BC such that DF is parallel to AC and DE is parallel to AF. If BE = 4 cm. EF = 6cm. then ...
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