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Directions : Solve the following questions -

1. The minimum value of (x – 2) (x – 9) is

(a) - 11/4 (b) 49/4 (c) 0 (d) -49/4

Show Answer

Answer: d

2. If x+y+z = 6 and x^{2}+y^{2}+z^{2} = 20, then the value of x^{3}+y^{3}+z^{3} - 3xyz is

(a) 64 (b) 70 (c) 72 (d) 76

Answer: c

3. In a ΔABC, the side BC is extended upto D. Such that CD = AC, if ∠BAD = 109° and ∠ACB = 72°, then the value of ∠ABC is

(a) 35° (b) 60° (c) 40° (d) 45°

Answer: a

4. Two circles touch each other internally. Their radii are 2 cm and 3cm. The biggest chord of the greater circle which is outside the inner circle is of length

(a) 2 √2 cm (b) 3 √2 cm (c) 2 √3 cm (d) 4 √2 cm

5. ABCD is a cyclic quadrilateral. AB and DC are produced to meet at P. If ∠ADC = 70° and ∠DAB = 60°, then the ∠PBC + ∠PCB is

(a) 130° (b) 150° (c) 155° (d) 180°