NAT I General Science Mathematics With Answers

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NAT I General Science Mathematics

Sr. # Questions Answers Choice
1 If the vector 2i+4j-2k and 2i +6j+xk are perpendicular then x-7 4 8 14 7
2 If the angle between two vectors with magnitude 8 and 2 is 60° then their scalar product is 12 8 16 1
3 The direction cosines of y-axis are 1,0,0 0,1,0 0,0,1 1,1,1
4 If i,m,n are the direction cosines of a vector O̅P̅ then I<sup>2</sup>&nbsp;+ m<sup>2</sup>&nbsp;+ n<sup>2</sup>&nbsp;=0 I<sup>2</sup>&nbsp;- m<sup>2</sup>&nbsp;+ n<sup>2</sup>&nbsp;=1 I<sup>2</sup>&nbsp;+ m<sup>2</sup>&nbsp;+ n<sup>2</sup>&nbsp;=1 I<sup>2</sup>&nbsp;+ m<sup>2</sup>&nbsp;- n<sup>2</sup>&nbsp;=0
5 The magnitude of a vector can never be Zero Negative Positive Absolute
6 Unit vector in the positive direction of x-axis is î ĵ All
7 The two different parts of the hyperbola are called is Vertices Directrices Nappes Branches
8 The line through the center and perpendicular to the transverse axis is called the Major axis Minor axis Focal axis Conjugate axis
9 The vertices of the ellipse x2 + 4y2 = 16 are (±,4,0) (0,±,4) (± 2,0) (0,± 2)
10 The end points of the major axis of the ellipse are called its foci Vertices Co-vertices eccentricity
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