[Download PDF] TS ICET 23rd May 2019 Shift-2 Paper with Solutions

Instructions

For the following questions answer them individually

Question 121

The angle of elevation of a tower from a point 40 meters from foot of the tower is $$\cot^{-1}\left(\frac{3}{5}\right)$$. Then the height (in meters) of the tower is

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Question 122

The quadratic polynomial in x which whendivided by x - 1, x + 2, x + 1 leave remainders 3, 24, 9 respectively is

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Question 123

If x + a is the highest common factor of $$x^2 + bx + c$$ and $$x^2 + dx + e$$, then the value of a is

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Question 124

If p(x) is a quadratic polynomial suchthat P(1) = 7, p(-1) = 3, p(0) = 4, then p(10) =

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Question 125

The remainder when $$x^4 + 4x^3 - 5x^2 - 6x + 7$$ is divided by x - 3, is

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Question 126

If a number x exceeds its reciprocal by $$2\frac{2}{3}$$, that $$x^2 =$$

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Question 127

A fraction becomes $$\frac{5}{7}$$ if 2 is added to both its numerator and denominator. However. if 17 is subtracted from both numerator and denominator the fraction becomes $$\frac{8}{15}$$. If 1 is added to its numerator and denominator, the fraction becomes.

Video Solution

Question 128

The sum of first three terms of a geometric progression is $$\frac{13}{12}$$ and their product is -1. Then the fourth term is

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Question 129

How many first few terms of the geometric progression 3, 6, 12, 24.... add up to 765?

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Question 130

The coefficient of $$x^5$$ in the expansion of $$\left(\frac{4x}{5} - \frac{5}{2x}\right)^9$$ is

Video Solution

CAT Content

TS ICET 23rd May 2019 Shift-2

The angle of elevation of a tower from a point 40 meters from foot of the tower is $$\cot^{-1}\left(\frac{3}{5}\right)$$. Then the height (in meters) of the tower is

The quadratic polynomial in x which whendivided by x - 1, x + 2, x + 1 leave remainders 3, 24, 9 respectively is

If x + a is the highest common factor of $$x^2 + bx + c$$ and $$x^2 + dx + e$$, then the value of a is

If p(x) is a quadratic polynomial suchthat P(1) = 7, p(-1) = 3, p(0) = 4, then p(10) =

The remainder when $$x^4 + 4x^3 - 5x^2 - 6x + 7$$ is divided by x - 3, is

If a number x exceeds its reciprocal by $$2\frac{2}{3}$$, that $$x^2 =$$

A fraction becomes $$\frac{5}{7}$$ if 2 is added to both its numerator and denominator. However. if 17 is subtracted from both numerator and denominator the fraction becomes $$\frac{8}{15}$$. If 1 is added to its numerator and denominator, the fraction becomes.

The sum of first three terms of a geometric progression is $$\frac{13}{12}$$ and their product is -1. Then the fourth term is

How many first few terms of the geometric progression 3, 6, 12, 24.... add up to 765?

The coefficient of $$x^5$$ in the expansion of $$\left(\frac{4x}{5} - \frac{5}{2x}\right)^9$$ is

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