ISC Guess Paper

Mathematics

Class - XII

Q1. Solve for x and y:

                                                                      3

Q2. A straight line y = mx passes through the intersection of the straight lines x + 2y – 1 = 0 and 2x – y + 3 = 0 . Find the value of m.                                    3

Q3. Find the foci and lotus return for the hyperbola x²/4 – y²/5 = ½ .                3

Q4. If                                                                        3

Q5. If sin(xy) + cos (xy) = 1 and tan (xy), then show that dy/dx = - y/x.             3

Q6. Solve the following differential equation: dy/dx – e^y+x = e^x-y.                     3

Q7. Evaluate                                                3

Q8. A straight line is parallel to the x-axis and passes through the intersection of the lines x + 2y + 1 = 0 and y = x + 7. Find the equation of the straight line.                                                                       3