NTA JEE Main 9th April 2019 Shift 1
For the following questions answer them individually
NTA JEE Main 9th April 2019 Shift 1 - Question 61
Let $$p, q \in Q$$. If $$2 - \sqrt{3}$$ is a root of the quadratic equation $$x^2 + px + q = 0$$, then:
NTA JEE Main 9th April 2019 Shift 1 - Question 62
All the points in the set $$S = \left\{\frac{\alpha + i}{\alpha - i}, \alpha \in R\right\}$$, $$i = \sqrt{-1}$$ lie on a:
NTA JEE Main 9th April 2019 Shift 1 - Question 63
A committee of 11 members is to be formed from 8 males and 5 females. If $$m$$ is the number of ways the committee is formed with at least 6 males and $$n$$ is the number of ways the committee is formed with at least 3 females, then:
NTA JEE Main 9th April 2019 Shift 1 - Question 64
Let the sum of the first $$n$$ terms of a non-constant A.P., $$a_1, a_2, a_3, \ldots, a_n$$ be $$50n + \frac{n(n-7)}{2}A$$, where A is a constant. If $$d$$ is the common difference of this A.P., then the ordered pair $$(d, a_{50})$$ is equal to:
NTA JEE Main 9th April 2019 Shift 1 - Question 65
If the fourth term in the Binomial expansion of $$\left(\frac{2}{x} + x^{\log_8 x}\right)^6$$, $$(x > 0)$$ is $$20 \times 8^7$$, then a value of $$x$$ is:
NTA JEE Main 9th April 2019 Shift 1 - Question 66
The value of $$\cos^2 10° - \cos 10° \cos 50° + \cos^2 50°$$ is:
NTA JEE Main 9th April 2019 Shift 1 - Question 67
Let $$S = \{\theta \in [-2\pi, 2\pi] : 2\cos^2\theta + 3\sin\theta = 0\}$$. Then the sum of the elements of S is:
NTA JEE Main 9th April 2019 Shift 1 - Question 68
Slope of a line passing through $$P(2, 3)$$ and intersecting the line $$x + y = 7$$ at a distance of 4 units from $$P$$, is:
NTA JEE Main 9th April 2019 Shift 1 - Question 69
If a tangent to the circle $$x^2 + y^2 = 1$$ intersects the coordinate axes at distinct points P and Q, then the locus of the mid-point of PQ is:
NTA JEE Main 9th April 2019 Shift 1 - Question 70
If one end of a focal chord of the parabola, $$y^2 = 16x$$ is at $$(1, 4)$$, then the length of this focal chord is:
