[Download PDF] AP ICET 2017 Shift 2 Paper with Solutions

Instructions

For the following questions answer them individually

Question 121

The angle of elevation of the top of a tower froma point P on the groundis $$45^\circ$$ and moving s feet towards the tower the angle of elevation is found to be $$60^\circ$$. The height (in feet) of the tower is

Video Solution

Question 122

The highest common factor of the polynomials $$p(x) = x^4 - 2ax^3 - 3a^2x^2$$ and $$q(x) = x^5 - 2ax^4 - 8a^2x^3$$ is

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Question 123

If $$x^2 + x - 2$$ is a factor of $$x^4 + 3x^3 - 8x^2 + p(x)$$, where p(x) is a linear polynomial then p(x) =

Video Solution

Question 124

If $$p(x) = 2x^2 + 5x + 1$$ and $$q(x) = x - 4$$ then a factor of $$q(p(x))$$ is

Video Solution

Question 125

If $$x + 1$$ and $$x - 1$$ are factors of $$x^3 + 2x^2 + ax + b$$ then $$a + b =$$

Video Solution

Question 126

In 10 years. A will be twice as old as B was 10 years ago. If A is 9 years older than B then the present age (in years) of B is

Video Solution

Question 127

The number of solutions of the system of linear equations x + y + z = 3, 2x + 2y - z = 3 and x + y - z = 1 is

Video Solution

Question 128

If $$a_1, a_2, a_3, ............, a_{19}$$ are 19 arithmetic means between $$\frac{1}{4}$$ and $$-\frac{39}{4}$$ then $$a_7 =$$

Video Solution

Question 129

If the sum of the first six terms of a geometric progressionis 9 times the sumof the first three terms then the commonratio r > 1 is

Video Solution

Question 130

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

Video Solution

CAT Content

AP ICET 2017 Shift 2

The angle of elevation of the top of a tower froma point P on the groundis $$45^\circ$$ and moving s feet towards the tower the angle of elevation is found to be $$60^\circ$$. The height (in feet) of the tower is

The highest common factor of the polynomials $$p(x) = x^4 - 2ax^3 - 3a^2x^2$$ and $$q(x) = x^5 - 2ax^4 - 8a^2x^3$$ is

If $$x^2 + x - 2$$ is a factor of $$x^4 + 3x^3 - 8x^2 + p(x)$$, where p(x) is a linear polynomial then p(x) =

If $$p(x) = 2x^2 + 5x + 1$$ and $$q(x) = x - 4$$ then a factor of $$q(p(x))$$ is

If $$x + 1$$ and $$x - 1$$ are factors of $$x^3 + 2x^2 + ax + b$$ then $$a + b =$$

In 10 years. A will be twice as old as B was 10 years ago. If A is 9 years older than B then the present age (in years) of B is

The number of solutions of the system of linear equations x + y + z = 3, 2x + 2y - z = 3 and x + y - z = 1 is

If $$a_1, a_2, a_3, ............, a_{19}$$ are 19 arithmetic means between $$\frac{1}{4}$$ and $$-\frac{39}{4}$$ then $$a_7 =$$

If the sum of the first six terms of a geometric progressionis 9 times the sumof the first three terms then the commonratio r > 1 is

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

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