If $x - \frac{1}{x}$ =1, then what is the value of $\frac{1}{x}\left(\frac{1}{x-1}-\frac{1}{x+1}+\frac{1}{x^{2}-1}-\frac{1}{x^{2}+1}\right)$1). $\pm \sqrt{5}$2). $\frac{2}{5}$3). $\pm \frac{2}{\sqrt{5}}$4). $\pm \frac{\sqrt{5}}{2}$
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1. If 3(x + y) = 243 and 3(x – y) = 9, then x is equal to
2. If the difference between the roots of the equation Ax2 - Bx + C = 0 is 4, then which of the following is TRUE?
3. In $\triangle ABC$, E and D are points on sides AB and AC respectively such that $\angle ABC$ = $\angle ADE$. If AE = 3 cm, AD = 2 cm and EB = 2 cm, then length of DC is
4. Thrice the square of a natural number decreased by four times the number is equal to 50 more than the number. The number is
5. In the following question two equations are given. You have to solve these equations and determine relation between a and b. I. a2 - 68a = 0 II. b2 - 94b = 0
6. What approximate value should come in place of the question mark (?) in the following questions ?(you are not expected to calculate the exact value)
7. In the following question two equations are given. You have to solve these equations and determine relation between x and y. I. 7x2 - 188x - 27 = 0 II. 3y2 + 35y + 88 = 0
8. In a group of 25 women, 17 have nose studs, 8 have ear rings and 5 have neither. How many of these have both nose studs and ear rings?
9. If (x – 3)2 + (y – 5)2 + (z – 4)2 = 0, then the value of x2/9 + y2/25 + z2/16 is:
10. If x = (√2 - 1)1/3, then the value of x3 – 1/x3 is:
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