If a straight line makes angles $\alpha,\beta,\gamma$ with the axes of coordinates, then $cos2\alpha+cos2\beta+cos2\gamma$ is equal to:
1). 2
2). 1
3). -1
4). -2
The sum of the 24 terms of the series $\sqrt{2}+\sqrt{8}+\sqrt{18}+\sqrt{32}+....is:$
1). $500\sqrt{2}$
2). $100\sqrt{2}$
3). $200\sqrt{2}$
4). $300\sqrt{2}$
The number of real solutions of the equation $\frac{1}{x+1}-\frac{1}{x+2}=\frac{1}{x+4}-\frac{1}{x+5}$ is
1). 4
2). 1
3). 3
4). 2
The orthocentre of the triangle ABC, whose angular points are A(l, 2), B(2, 3) and C(4, 3), is of the form :
1). (1, 4)
2). (2, 1)
3). (2, 5)
4). (1, 6)
The sum of the series $1+\frac{3}{1!}+\frac{5}{2!}+\frac{7}{3!}+...\infty$ is :
1). 2e
2). 3e
3). $\frac{e}{2}$
4). e-1