If a + b = 9 and $a^{2} + b^{2} = 61$, then value of ab is1). 202). 103). 814). 142
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1. If 5x - 4 2x - 5, then x can take which of the following values?
2. If (a6 – b6) = 8(a4 + b4 + a2b2), then find the value of (a2 – b2).
3. Directions: In the following questions two equations numbered I and II are given. You have to solve both the equations and Give answer: I. \(\frac{{17}}{{\sqrt x }}\) = √x – \(\frac{7}{{\sqrt x }}\) II. y3 – \(\frac{{\left( {3\;\times \;8} \right)\frac{9}{2}}}{{y\sqrt y }}\) = 0
4. A number when subtracted from 5 times of 64, the result obtained is 4 less than 8 times the number. Find the number.
5. In each of the questions a pair of equations is given. You have to find out the values of x and y and give answer.
6. The L.C.M. of (2x2 - 3x - 2) and (x3 - 4x2 + 4x) is ________
7. In the following question two equations are given. You have to solve these equations and determine relation between x and y. I. x2 – 26x – 56 = 0 II. y2 + 35y + 66 = 0
8. The difference between the ages of mother and son was 21 when mother’s age was 43. If father is elder by 3 years to mother, what will be the ages of son when father attains 50 years?
9. The internal bisectors of $\angle ABC$ and $\angle ACB$ of $\triangle ABC$ meet each other at O. If $\angle BOC$ = $110^{0}$, then $\angle BAC$ is equal to
10. The difference between the exterior and interior angles at a vertex of a regular polygon is $150^{0}$. The number of sides of the polygon is
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