Simplification Questions

• Find the common factor of (3757+4357) and (3737+4337) ?
• Calculate the value of 61681 x 61681 - 31681 x 3168130000 ?
• For which value of ‘g’ the linear graph of 6x + 12y +9 = 0 and 2x + gy + 3 = 0 has infinite number of solutions?
• ∆ABC is right angled at B. If m∠A = 45°, then find the value of (coseC + 1/√3).
• In ∆UVW measure of angle V is 900. If cosecU = 13/12, and UV = 2.5 cm, then what is the length (in cm) of side VW?
• The value of x for which the expressions 7x + 13 and 13x - 7 become equal is _____
• On dividing 256a2b2c2 by 64a2 , we get
• Rehman walks at 8 km/hr and Roma cycles at 13 km/hr towards each other. What was the distance between them when they started if they meet after 36 minutes?
• If 3x + 2y = 7 and 4x - y = 24, then x - y = ______.
• What is the value of cosec 11π/6?
• 1/(tanA + cotA) is equal to
• Calculate the value of √3√3 + 3 , if √3 = 1.732
• Determine the value of 'a' which satisfies the equation 9a + 40a = 41a
• ΔABC is right angled at B. If m∠C = 60°, then find the value of (cotA - 1/2).
• If 5x + 6(3-2x) = 4, then what is the value of x?
• If a + b = 1 and ab = -6, then what is the value of a3+ b3 ?
• What is the reflection of the point (3,-5) in the origin?
• Point P is the midpoint of segment AB. Co-ordinates of P are (5, -1) and A are (2, -4). What are the co-ordinates of point B?
• What is the slope of the line perpendicular to the line passing through the points (-2, 3) and (2, 0)?
• What is the value of Sin 30° + Cos 30°?