NTA JEE Main 12th April 2014 Online
For the following questions answer them individually
NTA JEE Main 12th April 2014 Online - Question 61
The sum of the roots of the equation, $$x^2 + |2x - 3| - 4 = 0$$, is:
NTA JEE Main 12th April 2014 Online - Question 62
Let $$z \neq -i$$ be any complex number such that $$\frac{z-1}{z+1}$$ is a purely imaginary number. Then $$z + \frac{1}{z}$$ is:
NTA JEE Main 12th April 2014 Online - Question 63
8-digit numbers are formed using the digits 1, 1, 2, 2, 2, 3, 4, 4. The number of such numbers in which the odd digits do no occupy odd places, is:
NTA JEE Main 12th April 2014 Online - Question 64
Let G be the geometric mean of two positive numbers a and b, and M be the arithmetic mean of $$\frac{1}{a}$$ and $$\frac{1}{b}$$. If $$\frac{1}{M}$$ : G is 4 : 5, then a : b can be:
NTA JEE Main 12th April 2014 Online - Question 65
The least positive integer n such that $$1 - \frac{2}{3} - \frac{2}{3^2} - \ldots - \frac{2}{3^{n-1}} \lt \frac{1}{100}$$, is:
NTA JEE Main 12th April 2014 Online - Question 66
If $$1 + x^4 + x^5 = \sum_{i=0}^{5} a_i(1+x)^i$$, for all $$x$$ in R, then $$a_2$$ is:
NTA JEE Main 12th April 2014 Online - Question 67
If $$\left(2 + \frac{x}{3}\right)^{55}$$ is expanded in the ascending powers of x and the coefficients of powers of x in two consecutive terms of the expansion are equal, then these terms are:
NTA JEE Main 12th April 2014 Online - Question 68
If a line intercepted between the coordinate axes is trisected at a point A(4, 3), which is nearer to x-axis, then its equation is:
NTA JEE Main 12th April 2014 Online - Question 69
If the three distinct lines $$x + 2ay + a = 0$$, $$x + 3by + b = 0$$ and $$x + 4ay + a = 0$$ are concurrent, then the point $$(a, b)$$ lies on a:
NTA JEE Main 12th April 2014 Online - Question 70
For the two circles $$x^2 + y^2 = 16$$ and $$x^2 + y^2 - 2y = 0$$, there is/are:
