NTA JEE Main 12th April 2019 Shift 1
For the following questions answer them individually
NTA JEE Main 12th April 2019 Shift 1 - Question 61
If $$\alpha$$ and $$\beta$$ are the roots of the equation $$375x^2 - 25x - 2 = 0$$, then $$\lim_{n \to \infty} \sum_{r=1}^{n} \alpha^r + \lim_{n \to \infty} \sum_{r=1}^{n} \beta^r$$ is equal to:
NTA JEE Main 12th April 2019 Shift 1 - Question 62
The equation $$|z - i| = |z - 1|$$, $$i = \sqrt{-1}$$, represents:
NTA JEE Main 12th April 2019 Shift 1 - Question 63
The Number of ways of choosing 10 objects out of 31 objects of which 10 are identical and the remaining 21 are distinct, is:
NTA JEE Main 12th April 2019 Shift 1 - Question 64
If three of the six vertices of a regular hexagon are chosen at random, then the probability that the triangle formed with these chosen vertices is equilateral is:
NTA JEE Main 12th April 2019 Shift 1 - Question 65
Let S$$_n$$ denote the sum of the first n terms of an A.P. If S$$_4$$ = 16 and S$$_6$$ = -48, then S$$_{10}$$ is equal to:
NTA JEE Main 12th April 2019 Shift 1 - Question 66
The coefficient of $$x^{18}$$ in the product $$(1 + x)(1 - x)^{10}(1 + x + x^2)^9$$ is
NTA JEE Main 12th April 2019 Shift 1 - Question 67
The equation $$y = \sin x \sin x + 2 - \sin^2(x+1)$$ represents a straight line lying in:
NTA JEE Main 12th April 2019 Shift 1 - Question 68
The number of solutions of the equation $$1 + \sin^4 x = \cos^2 3x$$, $$x \in \left[-\frac{5\pi}{2}, \frac{5\pi}{2}\right]$$ is:
NTA JEE Main 12th April 2019 Shift 1 - Question 69
If the angle of intersection at a point where the two circles with radii 5 cm and 12 cm intersect is 90°, then the length (in cm) of their common chord is:
NTA JEE Main 12th April 2019 Shift 1 - Question 70
If the normal to the ellipse $$3x^2 + 4y^2 = 12$$ at a point P on it is parallel to the line, $$2x + y = 4$$ and the tangent to the ellipse at P passes through Q(4, 4) then PQ is equal to:
