Simplification Questions

• For which value of ‘g’ the linear graph of 6x + 12y +9 = 0 and 2x + gy + 3 =0 has infinite number of solutions?
• ΔABC is right angled at B. If m∠A = 45°, then find the value of (cosecC + 1/√3).
• In ΔUVW measure of angle V is 90 deg. If cosecU = 13/12, and UV = 2.5cm, then what is the length (in cm) of side VW?
• Simplify 0.1x0.1x0.1 + 0.3x0.3x0.30.3x0.3 - 0.3x0.1 + 0.1x0.1
• Find the value of 6813+6413314
• Determine the value of ‘r’ for which the equation 13x + 5 = rx + 18 has no solution.
• What is the value of 23+5252-23 ?
• If 23x + 23y = 184, then what is the average of x and y?
• What is the value of (cos45° + 1/3) ?
• What is the value of (cos45° + 1/3) ?
• ΔDEF is right angled at E. If cosD = 8/17, then what is the value of secF ?
• If x2-3x+1=0, then x+1x is (x≠0)
• If θ>0 , be an acute angle, then the value of it in degrees satisfying cos2θ-3cosθ+2sin2θ=1 is
• If 2+aa + 2+bb + 2+cc = 4 , then the value of ab+bc+caabc is
• If x+y+z = 1, 1/x + 1/y + 1/z = 1 and xyz = -1, then x3+y3+z3 is equal to
• The value of Cot17°Cot73°Cos222° + 1Cot17°Sec268° is
• If (x+1/x) = 5, then the value of 5xx2+5x+1 ?
• If 1aa2+1 = 3, then the value of a6+1a3 is
• If a = √2 + 1, b = √2 - 1 then the value of 1a+1+1b+1 ?
• θ is a positive acute angle and sinθ cosθ = 0, then the value of secθ + cosecθ is