NTA JEE Main 10th April 2016 Online
For the following questions answer them individually
NTA JEE Main 10th April 2016 Online - Question 61
If $$x$$ is a solution of the equation $$\sqrt{2x+1} - \sqrt{2x-1} = 1$$, $$\left(x \geq \frac{1}{2}\right)$$, then $$\sqrt{4x^2 - 1}$$ is equal to:
NTA JEE Main 10th April 2016 Online - Question 62
Let $$z = 1 + ai$$, be a complex number, $$a > 0$$, such that $$z^3$$ is a real number. Then, the sum $$1 + z + z^2 + \ldots + z^{11}$$ is equal to:
NTA JEE Main 10th April 2016 Online - Question 63
If $$\frac{^{n+2}C_6}{^{n-2}P_2} = 11$$, then $$n$$ satisfies the equation:
NTA JEE Main 10th April 2016 Online - Question 64
Let $$a_1, a_2, a_3, \ldots a_n, \ldots$$, be in A.P. If $$a_3 + a_7 + a_{11} + a_{15} = 72$$, then the sum of its first 17 terms is equal to:
NTA JEE Main 10th April 2016 Online - Question 65
The sum $$\sum_{r=1}^{10} (r^2 + 1) \times (r!)$$, is equal to:
NTA JEE Main 10th April 2016 Online - Question 66
If the coefficients of $$x^{-2}$$ and $$x^{-4}$$, in the expansion of $$\left(x^{1/3} + \frac{1}{2x^{1/3}}\right)^{18}$$, $$(x \gt 0)$$, are $$m$$ and $$n$$ respectively, then $$\frac{m}{n}$$ is equal to
NTA JEE Main 10th April 2016 Online - Question 67
If $$A > 0$$, $$B > 0$$ and $$A + B = \frac{\pi}{6}$$, then the minimum positive value of $$(\tan A + \tan B)$$ is:
NTA JEE Main 10th April 2016 Online - Question 68
Let $$P = \{\theta : \sin\theta - \cos\theta = \sqrt{2}\cos\theta\}$$ and $$Q = \{\theta : \sin\theta + \cos\theta = \sqrt{2}\sin\theta\}$$, be two sets. Then
NTA JEE Main 10th April 2016 Online - Question 69
A straight line through origin $$O$$ meets the lines $$3y = 10 - 4x$$ and $$8x + 6y + 5 = 0$$ at points $$A$$ and $$B$$ respectively. Then, $$O$$ divides the segment $$AB$$ in the ratio
NTA JEE Main 10th April 2016 Online - Question 70
A ray of light is incident along a line which meets another line $$7x - y + 1 = 0$$ at the point $$(0, 1)$$. The ray is then reflected from this point along the line $$y + 2x = 1$$. Then the equation of the line of incidence of the ray of light is:
