AP ICET 2015

Instructions

For the following questions answer them individually

Question 111

If (-4, 5) is a vertex and $$7x - y + 8 = 0$$ is the equation of a diagonal of a square, then the equation of other diagonal of the square is

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Question 112

Equation of the straight line passing through the point (1, -5) and making intercepts in the ratio 2 : 3 on the axes is

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Question 113

If $$\sec \theta + \tan \theta = \frac{2}{3}$$ then the quadrant in which $$\theta$$ lies is

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Question 114

$$2(\sin^6 \theta + \cos^6 \theta) - 3(\sin^4 \theta + \cos^4 \theta) =$$

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Question 115

If $$\cos \theta + \sec \theta = 2$$, then $$\cos^4 \theta + \sec^4 \theta =$$

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Question 116

If the angles of elevation of the top of a tower of height 60 m and the top of a flag staff on the tower from a point on the level ground are $$30^\circ$$ and $$60^\circ$$ respectively, then the length of the flag staff in metres is

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Question 117

$$\cos^2 45^\circ + \cos^2 135^\circ + \cos^2 225^\circ + \cos^2 315^\circ =$$

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Question 118

The remainder obtained when $$7x^2 - 13x + 5$$ is divided by $$x - 3$$ is

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Question 119

If the polynomial $$7x^4 + 4x^3 - 6x^2 + ax + b$$ is divisible by $$x - 1$$ and $$x + 1$$, then $$a + b =$$

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Question 120

The remainder obtained when $$\sum_{n = 1}^{100}(n!)$$ is divided by 6 is

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