If \(\frac{a}{b+c} = \frac{b}{c+a} = \frac{c}{a+b} = k\) then value of k is

A two digit number is 7 times the sum of its two digits. The number that is formed by reversing its digits is 18 less than original number. What is the number?

The equation of the circle which passes through the point (4, 5) and its centre at (2, 2) is

Given below are two statement: Statement I: If \(\sin(\theta) = \frac{5}{13}\), then the value of \(\tan(\theta) = \frac{5}{12}\) Statement II: if \(\cot(\theta) = \frac{12}{5}\), then the value of \(\sin(\theta) = \frac{5}{12}\) In the light of the above statements, choose the c…

Given below are two statements: Statement I: In \(\triangle ABC\), \(AB = 6\sqrt{3}\) cm, \(AC = 12\) cm and \(BC = 6\) cm, then angle \(B = 90^\circ\) Statement II: In \(\triangle ABC\), is an isosceles with \(AC = BC\). If \(AB^2 = 2AC^2\), Then angle \(C = 90^\circ\) In the li…

The value of \(\frac{325 \times 325 \times 325 + 175 \times 175 \times 175}{325 \times 325 - 325 \times 175 + 175 \times 175}\) is

If \(a \times b = 2a - 3b + ab\), then \(3 \times 5 + 5 \times 3\) is equal to

\(\frac{\sqrt{5}+\sqrt{3}}{\sqrt{8-2\sqrt{15}}} + \frac{\sqrt{11+2\sqrt{30}}}{\sqrt{6}-\sqrt{5}} =\)

Match List I with List II List I | List II A. Mean of first five prime numbers is | I. 12 B. Mean of all factors of 24 is | II. 7.5 C. Mean of first six multiples of 4 is | III. 5.6 D. If the mean of x-5y, x-3y, x-y, x+y, x+3y and x+5y is 12, then x is | IV. 14 Choose the correct…