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CDS || Mathematics || Algebra || 25-02-2019

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Question 1

What is the simplified value of

Question 2

If a + = b + = c + , where a b c 0, then the value of a2 b2 c2 is

Question 3

If x =  then (x + 1) equals to

Question 4

If then find the value of .

Question 5

If 303x + 297y = 299 and 297x + 303y = 301, then what will be the ratio between x and y?

Question 6

, find the value of 16a+12b+12c+2.

Question 7

Compute the relation between x and y.
1)
2)

Question 8

If α and β are the roots of the equation x2 - x + 3 = 0, then what is the value of α4 + β4?

Question 9

If 5 - x < 1 + 5x and 2x + 3(5 - 2x) 2 - 3x, then x can take which of the following values?

Question 10

If the square root of x is the cube root of y, then the relation between x and y is
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