Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ ¹ ² ³ °
 

You are not logged in. #1 20090310 02:50:34
Question Bank : Age Group 1617 : III1. If then verify that . 2. Solve the following system of linear equations by determinant method: 2x = 3y = 8; 4x + 6y = 16. 3. Show that the points (3, 1, 1), (1, 0, 1), and (5, 2, 1) are collinear. 4. Find the vector and Cartesian equation of a sphere with center having position vector and radius 4 units. 5. Solve if 1 + i is one of the roots. 6. Prove that the tangent at any point to the rectangular hyperbola forms with the asymptotes a triangle of constant area. 7. Find the absolute maximum and minimum values of the function . 8. Verify Lagrange's law of mean for the function on [1,3]. 9. Find the approximate value of using differentials. 10. Find the area of the region bounded by y = 2x + 4, y = 1, y = 3, and the y axis. 11. Solve: given that y = 1 when x = 1. 12. If cosA + cosB + cosC = 0 = sinA + sinB +sinC, then prove that cos2A + cos2B + cos2C = 0 and sin2A + sin2B + sin2C = 0. Character is who you are when no one is looking. 