Simplification Questions

• If A/3 = B/2 = C/5, then what is the value of ratio (C + A)2 : (A + B)2 : (B + C)2?
• If a+b=2c then the value of aa-c+cb-c is equal to (where a≠b≠c )
• If x+1x=5, then the value of x1+x+x2 is
• If sinθ + cosθ = 1, then the sinθ cosθ is equal to
• If a2b+c=b2c+a=c2a+b=1 then the value of 21+a+21+b+21+c
• If 2x+2x=3, then the value of x3+1x3+2 is
• In ∆ABC if the median AD=1/2 BC, then ∠BAC is
• If sinθ+cosθsinθ-cosθ=3, then the value of sin4θ-cos4θ is
• If (x2/yz) + (y2/zx) + (z2/xy) = 3 , then what is the value of (x + y + z)3 ?
• If x1/4 + x-1/4 = 2 , then what is the value of x81 + (1/x81) ?
• If a(a + b + c) = 45, b(a + b + c) = 75 and c(a + b + c) = 105, then what is the value of (a2 + b2 + c2 ) ?
• If x2 + (1/x2) = 1 , then what is the value of x48 + x42 + x36 + x30 + x24 + x18 + x12 + x6 + 1 ?
• What is the simplified value of sin2(90–θ)–[sin(90–θ)sinθ/tanθ] ?
• What is the simplified value of cosec 2A + cot 2A?
• If a+b=5 then the value of a-37+b-27 is
• If x2-2x+1=0, then the value of x4+1x4 is
• The length of a median of an equilateral triangle is 12√3 cms. Then the area of the triangle is
• 0 is the circumference of a triangle ∆ABC . The point A and the chord BC are on the opposite side of O. If ∠BOC=150° then the value of ∠BAC is
• In an acute-angled triangle ABC is Sin(B+A+C)= 32 and tan(C+A-B)=1, then C is equal to
• If SinX-CosX=1, where 'X' is an acute angle, the value of SinX+CosX is