Q. 1. Solve for x and y:
, .
Q. 2. If and are the zeroes of the quadratic polynomial: find .
Q. 3. Find the quadratic polynomial, the sum and product of whose zeros are -3 and 2respectively.
Q. 4. Find the sum and product of zeroes of the polynomial
Q. 5. Solve for x:
and .
Q. 6. For what value of k will the following system of linear equations have no solution
,
Q. 7. Solve for x and y:
,
Q. 8. Find the values of p and q for which the following system of equations has infinite number of solution;
Q. 9. Verify that are the zeroes of the cubic polynomial
Q. 10. Solve and hence find the value of m for which
Q. 11. Divide the polynomial p(x) by the polynomial q(x) and find the quotient and remainder.
Q. 12. Solve the following equations graphically Shade the region between the two lines and x-axis.
Q. 13. A man travel 600 km partly by train and partly by car . If he covers 400 km by train and the rest by car , it takes him 6 hours 30 minutes. But if he travels 200 km. by train and the rest by car , he takes half an hour longer. Find the speed of the train and that of the car.