1 .If 4x = secθ and $4\over x$ tanθ , hen find the value of 8($x^2$-$1\over x^2$ ) .
A.$1\over2$
B.$1\over4$
C.$1\over16$
D.$1\over8$

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2 .If sinθ + cosθ = $\sqrt2$ cos (90° – θ), then cot θ is –
A. $\sqrt2$
B. $\sqrt2$ -1
C. $\sqrt2$ +1
D.0

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3 .Two sides of atriangle are of length 4 cm and 10 cm. If the length of the third side is 'a' cm, then

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4 .$sec^4$θ – $sec^2$θ is equal to –

(A) $sec^2$θ .$cot^2$θ
(B) $cos^2$θ – $cos^4$θ
(C) $tan^2$θ .$tan^4$θ
(D) $sec^2$θ .$tan^2$θ

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5 .If $\sqrt 6$ × $\sqrt 15$ = x $\sqrt 10$ , then find the value of x.

(A) $\sqrt 3$
(B) $\sqrt 6$
(C) 3
(D) ±3

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6 .If a+ b+ 1 = 0, then find the value of (a 3 + b 3 + 1 – 3ab).

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7 .In a big garden 60% of the trees are coconut trees, 25% of the number of coconut trees are mango trees and 20% of the number of mango trees are apple trees. If the number of apple tress are 1500, then the number of trees in the garden is –

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8 .A coconut merchant finds that the cost price of 2750 coconuts is the same as the selling price of 2500 coconuts. The loss or gain per cent is –

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9 .If $x^4$ + $1\over x^4$ = 23,then the find value of (x- $1\over x$)$^2$

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10 .In xy-plane, P and Q are two points having co-ordinates (2, 0) and (5, 4) respectively. Then find the numerical value of the area of the circle with radius PQ.
(A) 14 π (B) 25 π (C) 100 π (D) 32 π

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