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

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2. If x+y+z = 6 and x2+y2+z2 = 20, then the value of x3+y3+z3 - 3xyz is

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

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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° 

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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

 

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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° 

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