What approximate value should come in place of the question mark (?) in the following questions ?(you are not expected to calculate the exact value)
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$(6.5)^{2}=42.25$ Now, 42.25~43 Therefore, the correct option is option C.
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1. Evaluate the following \(\frac{1}{{\sqrt {16} - \sqrt {15} }} - \frac{1}{{\sqrt {15} - \sqrt {14} }} + \frac{1}{{\sqrt {14} - \sqrt {13} }} - \frac{1}{{\sqrt {13} - \sqrt {12} }} + \frac{1}{{\sqrt {12} - \sqrt {11} }} - \frac{1}{{\sqrt {11} - \sqrt {10} }} + \frac{1}{{\sqrt {10} - \sqrt 9 }}\)
2. In the following question, one or two equation(s) is/are given. You have to solve both the equations and find the relation between ‘x’ and ‘y’ and mark correct answer. I. 4x2 – 7x – 2 = 0 II. 6y2 + 11y + 4 = 0
3. If x + y = 10 and $x^2 + y^2$ = 68, then find xy
4. If a + a2 + a3 - 1 = 0, then what is the value of a3 + (1/a)?
5. Anuj’s age is 1/6th of Biju’s age. Biju’s age will be twice of Cessi’s age after 10 years. If Cessi’s 8th birthday was celebrated two years ago, then determine the present age of Anuj.
6. The sum of two numbers is 25 and sum of their square is 313. Calculate the numbers.
7. In a circle of radius 21 cm, an arc subtends an angle of $72^{0}$ at the centre. The length of the arc is
8. If a – b = 11 and ab = 24, then value of $a^{2}+b^{2}$ is
9. Directions: In the following questions two equations numbered I and II are given. You have to solve both the equations and Give answer: I. 3x2 - 19x - 14 = 0 II. 4y2 + 21y + 20 = 0
10. In $\triangle ABC$,$\angle C$ is an obtuse angle. The bisectors of the exterior angles at A and B meet BC and AC produced at D and E respectively. If AB = AD = BE,then $\angle ACB$=
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