NTA JEE Main 8th January 2020 Shift 1
Instructions
For the following questions answer them individually
NTA JEE Main 8th January 2020 Shift 1 - Question 71
The least positive value of 'a' for which the equation, $$2x^2 + (a - 10)x + \frac{33}{2} = 2a$$ has real roots is
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NTA JEE Main 8th January 2020 Shift 1 - Question 72
An urn contains 5 red marbles, 4 black marbles and 3 white marbles. Then, the number of ways in which 4 marbles can be drawn so that at the most three of them are red is
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NTA JEE Main 8th January 2020 Shift 1 - Question 73
The sum $$\sum_{k=1}^{20} (1 + 2 + 3 + \ldots + k)$$ is
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NTA JEE Main 8th January 2020 Shift 1 - Question 74
The number of all $$3 \times 3$$ matrices A, with entries from the set $$\{-1, 0, 1\}$$ such that the sum of the diagonal elements of $$AA^T$$ is 3, is
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NTA JEE Main 8th January 2020 Shift 1 - Question 75
Let the normal at a point P on the curve $$y^2 - 3x^2 + y + 10 = 0$$ intersect the y-axis at $$\left(0, \frac{3}{2}\right)$$. If $$m$$ is the slope of the tangent at P to the curve, then $$|m|$$ is equal to
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