What will be the roots of the quadratic equation $x^{2}$ - 25x + 156 = 0?1). 12, 132). 25, 13). 9, 164). 31, 6
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1. In the following question two equations are given in variables ‘x’ and ‘y’. On the basis of these equations you have to decide the relation between ‘x’ and ‘y’ and give answer. I. 676x2 – 1 = 0 II. \(y = \frac{1}{{\sqrt[3]{{13824}}}}\)
2. If $\frac{a^{2}}{b+c}$ = $\frac{b^{2}}{c+a}$ = $\frac{c^{2}}{a+b}$ =1 then $\frac{1}{1+a}$ + $\frac{1}{1+b}$ + $\frac{1}{1+c}$ is
3. In the following question two equations I and II are given. You have to solve these equations and determine relation between the variables given. I. \(x + \frac{1}{x} = \frac{{50}}{7}\) II. 4y2 + 4 + 17y = 0
4. The age of P is two years more than thrice the age of Q. 2 years back, the ratio of ages of Q and R was 1 : 2. R will be 12 years old after 2 years. What will be the age of P after 3 years?
5. Find the value of p if 3x + p, x 10 and x+ 16 are in arithmetic progression.
6. The sides of a triangle are in the ratio 3:4:6. The triangle is :
7. In the following question two equations are given in variables ‘x’ and ‘y’. On the basis of these equations you have to decide the relation between ‘x’ and ‘y’ and give answer. I. √1225 x + √4900 = 0 II. \({\left( {27} \right)^{\frac{1}{3}}}y + {\left( {343} \right)^{\frac{1}{3}}} = 0\)
8. If $\left(\frac{1}{x}\right) + \left(\frac{1}{y}\right) +\left(\frac{1}{z}\right) $ = 0 and x + y + z = 9, then what is the value of $x^{3} + y^{3} + z^{3}- 3xyz?$
9. Direction: In the given question, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answer. I. x2 – 0.15x – 0.07 = 0 II. y2 – 0.75y + 0.14 = 0
10. In the following question two equations are given. You have to solve these equations and determine relation between x and y. I. 15x2 – 37x + 20 = 0 II. 18y2 – 67y – 63 = 0
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