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Practice Equations Questions and Answers

If x + y + z = 19, xyz = 216 and xy + yz + 2x = 114, then the value of √ x3 + y3 + z3 + xyz is :
If 2cos2 Ɵ – 5cos Ɵ + 2 = 0,00 < Ɵ < 900 , then the value of (cosec Ɵ + cot Ɵ) is :
If a + b + c = 0 then the value of (1/(a+b)(b+c)) + (1/(b+c)(c+a)) + (1/(c+a)(a+b)) is
If x2 + y2 + 2x + 1 = 0, therefore the value of x31 + y35 is
If X = (√5 + 1) / (√5 – 1) and y = (√5 – 1) / (√5 + 1) then the value of (x 2+xy+y 2) / (x 2 &nda...
If (x - 1/x)2 = 3, then the value of x6 + 1/x6 equals
If x4 + 2x3 + ax2 + bx + 9 is a perfect square, where a and b are positive real numbers, then the value of a and b are
If a + b2 + c2 = 16, x2 + y2 + z2 = 25 and ax + by + cz = 20, then the value of (a+b+c)/(x+y+z)
The value of x which satisfies the equation (x+a2+2c2) / (b+c) + (x+b2 +2a2) / (c+a) + (x+c+2b2) / (a+b) = 0 is ...
If a3 = 117 + b3 and a = 3 + b, then the value of a + b is:
If a + 1/a = -2 then the value of a1000 + a- 1000 is
The value of the expression (1 + sec22° + cot68°)(1 – cosec22° + tan68°) is
If x sin3 θ + y cos3 θ = sin θ cos θ and x sin θ − y cos θ = 0, then the value of x2 + y2 equals...
If sec θ + tan θ = m(> 1), then the value of sin θ is (0° < θ < 90°)
If (a2 − b2)sin θ + 2ab cos θ = a2 + b2, then tan θ =
If 2y cos θ = x sin θ and 2x sec θ - y cosec θ = 3, then the value of x2+ 4y2 is...
The expression of (cot θ + cosec θ −1) / (cot θ − cosec θ+1) is equal to ...
The total number of even factors of 25 × 33 × 52 is:
If -5 ≤ x ≤ 3 and -1 ≤ y ≤ 0, then the minimum value of 2y – 3x is:
Find x, given 5 (√5)x+6 = (√5)2x+7 :
Which one of the following is the equation for Velocity Time relation?
Which is the largest six digit number, which when divided by 12, 15, 20, 24 and 30, leaves the remainders 8, 11, 16, 20 and 26 respectively.
If (2x + 3y+ 4) (2x + 3y 5) is equivalent to (ax² + by² + 2hxy + 2gx + 2fy + c), then what is the value - of ((g + f – c) / abh}?
If 0 ≤ θ ≤ 90°, and sec107 θ + cos107 θ = 2, then. (secθ + cosθ) is equal to:

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