NTA JEE Main 8th April 2017 Online
For the following questions answer them individually
NTA JEE Main 8th April 2017 Online - Question 61
Let $$p(x)$$ be a quadratic polynomial such that $$p(0) = 1$$. If $$p(x)$$ leaves remainder 4 when divided by $$x - 1$$ and it leaves remainder 6 when divided by $$x + 1$$ then:
NTA JEE Main 8th April 2017 Online - Question 62
Let $$z \in C$$, the set of complex numbers. Then the equation, $$2|z + 3i| - |z - i| = 0$$ represents:
NTA JEE Main 8th April 2017 Online - Question 63
If all the words, with or without meaning, are written using the letters of the word QUEEN and are arranged as in English dictionary, then the position of the word QUEEN is:
NTA JEE Main 8th April 2017 Online - Question 64
If the arithmetic mean of two numbers $$a$$ and $$b$$, $$a > b > 0$$, is five times their geometric mean, then $$\frac{a+b}{a-b}$$ is equal to:
NTA JEE Main 8th April 2017 Online - Question 65
If the sum of the first $$n$$ terms of the series $$\sqrt{3} + \sqrt{75} + \sqrt{243} + \sqrt{507} + \ldots$$ is $$435\sqrt{3}$$, then $$n$$ equals:
NTA JEE Main 8th April 2017 Online - Question 66
If $$(27)^{999}$$ is divided by 7, then the remainder is:
NTA JEE Main 8th April 2017 Online - Question 67
The locus of the point of intersection of the straight lines, $$tx - 2y - 3t = 0$$ and $$x - 2ty + 3 = 0$$ ($$t \in R$$), is:
NTA JEE Main 8th April 2017 Online - Question 68
If two parallel chords of a circle, having diameter 4 units, lie on the opposite sides of the center and subtend angles $$\cos^{-1}\left(\frac{1}{7}\right)$$ and $$\sec^{-1}(7)$$ at the center respectively, then the distance between these chords is:
NTA JEE Main 8th April 2017 Online - Question 69
If the common tangents to the parabola, $$x^2 = 4y$$ and the circle, $$x^2 + y^2 = 4$$ intersect at the point $$P$$, then the distance of $$P$$ from the origin (units), is:
NTA JEE Main 8th April 2017 Online - Question 70
If a point $$P(0, -2)$$ and $$Q$$ is any point on the circle, $$x^2 + y^2 - 5x - y + 5 = 0$$, then the maximum value of $$(PQ)^2$$ is:
