Simplification Questions

• P(3,1) and R(-7,5) are vertices of a rhombus PQRS. What is the equation of diagonal QS?
• If 3x - 10 = -(2x + 5), then the numerical value of (x - 4)3 is
• If xy = -30 and x2 + y2 = 61 , then find the value of (x + y).
• If 2x+ 4(x - 3) < -2 - x < 2x - 1, then find the value of x.
• (secA - tanA)/(cosecA + cotA) is equal to
• Coefficient of x2 in 6x3 + 4x2 + 2x + 3 is
• Find k, if the line 2x- 3y = 11 is perpendicular to the line 3x + ky = -4?
• On dividing 8a2b2c2 by 4a2 , we get
• The point P (a,b) is first reflected in origin to P1 and P1 is reflected in Yaxis to (4,3). The co-ordinates of point P are
• √(1 + tan2A)/tanA is equal to
• What is the value of sec 4π/3?
• If 2x + 6y = 3xy and 10x - 3y = 4xy, find x, y.
• If 2x- 3(4-2x) < 4x - 5 < 4x + 2x/3, then x can take which of the following values?
• If 1/(tanA + cotA) = x, then value of x is
• P(4,2) and R(-2,0) are vertices of a rhombus PQRS. What is the equation of diagonal QS.
• If a – b = 11 and ab = 24, then value of a2 + b2 is
• The simplified form of (x + 3)2 + (x - 1)2 is
• What is the value of sin(11π/6)?
• If sinC - sinD = x, then value of x is
• What is the simplest form of (1 + cosA)(cosecA cotA)?