If a + b = 8 and $a^{2} + b^{2} = 34$, then value of ab is1). 302). 643). 984). 15
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1. If a + b + c = 9 and ab + bc + ca = 18, then what is the value of a3 + b3 + c3 – 3abc ?
2. If $2x + \left(\frac{9}{x}\right)$ = 9, then what is the minimum value of $x^{2} + \left(\frac{1}{x^{2}}\right)$?
3. ABCD is a cyclic quadrilateral.AB and DC when produced meet at P. If PA = 8 cm, PB = 6 cm. PC = 4 cm, then the length (in cm) of PD is
4. E is the mid-point of the median AD of $\triangle ABC$ . BE is Joined and produced to meet AC at F. F divides AC in the ratio :
5. What is the sum of the first 12 terms of an arithmetic progression if the first term is 3 and last term is 47?
6. In $\triangle ABC$, $\angle B$ = $60^{0}$ ,and $\angle C$ = $40^{0}$ ,AD and AE are respectively the bisector of $\angle A$ and perpendicular on BC.The measure of $\angle EAD$ is :
7. What approximate value should come in place of the question mark (?) in the following questions ? (Note : You are not expected to calculate the exact value.)
8. If (x11 + 1) is divided by (x + 1), the remainder is:
9. In the following question two equations are given. You have to solve these equations and determine relation between x and y. I. x2 - 12x - 160 = 0 II. y2 - 10y - 144 = 0
10. If the sum of three numbers which have difference of 3 between them is 633, then find the largest number?
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