[Download PDF] AP ICET 2017 Paper with Solutions

Instructions

For the following questions answer them individually

Question 121

A kite is flying with a string inclined at $$30^\circ$$ to the horizontal. The height of the kite (in meters) when the string is 15 m long is

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Question 122

$$x + \frac{1}{x} = 5 \Rightarrow x^4 + \frac{1}{x^4} =$$

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Question 123

The remainder when $$3x^4 + 16x^3 + 4x^2 + 2x + 5$$ is divided by $$2x - 1$$ is

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Question 124

If a polynomial leaves remainder -7 and 5 respectively when it is divided by x - 5 and x + 3 then the remainder when the same polynomial is divided by $$x^2 - 2x + 15$$ is

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Question 125

If $$x^2 + x - 2$$ is a factor of the polynomial $$x^4 + 3x^3 + ax^2 + bx +16$$ then the ordered pair (a, b) =

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Question 126

$$\frac{6}{a} + \frac{15}{b} = 8, \frac{10}{a} - \frac{9}{b} = 2 \Rightarrow a^2 + b^2 =$$

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Question 127

The number of solutions of the system 3x — 4y = 3 and 9x — 12y = 91s

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Question 128

If the sum to 2n terms of the arithmetic progression 2. 5. 8..... Is equal to the sum to n terms of the arithmetic progression is 57, 59. 61....., then n=

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Question 129

If the common ratio of a geometric progression is $$\frac{3}{7}$$ and its sum to infinite terms is 133 then the first term of the geometric progression is

Video Solution

Question 130

$$(1 + x + x^2)^n = \sum_{k = 0}^{2n} a_kx^k \Rightarrow \sum_{k = 1}^n a_{2k - 1} =$$

Video Solution

CAT Content

AP ICET 2017

A kite is flying with a string inclined at $$30^\circ$$ to the horizontal. The height of the kite (in meters) when the string is 15 m long is

$$x + \frac{1}{x} = 5 \Rightarrow x^4 + \frac{1}{x^4} =$$

The remainder when $$3x^4 + 16x^3 + 4x^2 + 2x + 5$$ is divided by $$2x - 1$$ is

If a polynomial leaves remainder -7 and 5 respectively when it is divided by x - 5 and x + 3 then the remainder when the same polynomial is divided by $$x^2 - 2x + 15$$ is

If $$x^2 + x - 2$$ is a factor of the polynomial $$x^4 + 3x^3 + ax^2 + bx +16$$ then the ordered pair (a, b) =

$$\frac{6}{a} + \frac{15}{b} = 8, \frac{10}{a} - \frac{9}{b} = 2 \Rightarrow a^2 + b^2 =$$

The number of solutions of the system 3x — 4y = 3 and 9x — 12y = 91s

If the sum to 2n terms of the arithmetic progression 2. 5. 8..... Is equal to the sum to n terms of the arithmetic progression is 57, 59. 61....., then n=

If the common ratio of a geometric progression is $$\frac{3}{7}$$ and its sum to infinite terms is 133 then the first term of the geometric progression is

$$(1 + x + x^2)^n = \sum_{k = 0}^{2n} a_kx^k \Rightarrow \sum_{k = 1}^n a_{2k - 1} =$$

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