NAT II Physical Science Mathematics With Answers

NAT II Physical Science Mathematics

Sr. # Questions Answers Choice
1 The circle (x-2)2+ (y+3)2= 4 is not concentric with the circle (x-2)<sup>2</sup>+ (y+3)<sup>2</sup>= 9 (x+2)<sup>2</sup>+ (y-3)<sup>2</sup>= 4 (x-2)<sup>2</sup>+ (y+3)<sup>2</sup>= 8 (x-2)<sup>2</sup>+ (y+3)<sup>2</sup>= 5
2 The radius of the circle (x-1)2+ (y+3)2= 64 is 8 4 64
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4 The constant distance of all points of the cirlce from its centre is called the Radius of the circle Secant of the circle Chord of the circle Diameter of the circle
5 If a cone is cut by a plane perpendicular to the axis of the cone, then the section is a Parabola Circle Hyperbola Ellipse
6 p &lt; r p &gt; r p + r &lt; 0 p - r &lt; 0
7 If -1 < x < 0, which of the following statements must be true? x &lt; x<sup>2</sup>&lt; x<sup>3</sup> x &lt; x<sup>3</sup>&lt; x<sup>2</sup> x<sup>2</sup>&lt; x<sup>3</sup>&lt; x x<sup>2</sup>&lt; x &lt; x<sup>3</sup>
8 For which of the following ordered pairs (s, t) is s + t > 2 and s - t < -3? (3, 2) (2, 3) (1, 8) (0, 3)
9 Which is in the solution set of 4x - 3y < 2 (3, 0) (4, 1) (1, 3) None
10 A farmer possesses 100 hectometers of land and wants to grow corn and wheat. Cultivation of corn requires 3 hours per hectometer while cultivation of wheat requires 2 hours pert hectometer. Working hours cannot exceed 240. If he gets a profit of Rs. 20 per hectometer for corn and Rs. 20 per hectometer for wheat. The profit function for the farmer is P(x,y) = 20x + 15y P(x,y) = 2x + 3y P(x,y) = x + y P(x,y) = 3x + 2y
11 A point of a solution region where two of its boundary lines intersect, is called Boundary Inequality Half Plane Vertex
12 Which is not a half plane ax + by &lt; c ax + by &gt; c Both A and B None
13 If 4 - x > 5, then x &gt; 1 x &gt; -1 x &lt; 1 x &lt; -1
14 If ab > 0 and a < 0, which of the following is negative? b -b -a (a - b)<sup>2</sup>
15 If x < y, 2x = A, and 2y =B, then A = B A &lt; B A &lt; x B &lt; y
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