1. The product of all real integral solutions of (x ^{2} - 3x+3) ^{x 2-16x+48} = 1 is

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5. If the HCF of 85 and 153 is expressible in the form 85x – 153, then x equals

6.If 5secθ – 2tanθ = 5, then the value of 5tanθ – 2secθ can be

7. KITE is a parallelogram in which P and Q are points on KE and KT respectively such that PQ||ET. If PQ = 4 cm, KQ = (4x – 5) cm, QT = (5x – 4) cm, KP = (x – 1) cm and PE = x cm, then KI equals

8. If a and b are primes less than 10 and x^{2} – ax + b = 0 has distinct positive integral roots, then a^{b} equals

9. How many different real values of x satisfy the equation (x^{2} – 5)^{2} = 16?

10. The polynomial x^{3} – ax^{2} + bx – 1830 has three positive integral zeroes. The smallest possible value of a is

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12. The area of the triangle formed by the lines 4x + 3y – 12 = 0, 4x – 3y + 12 = 0 and y = 0, is