1).Find the points of intersection of the circle \\((x-3)^2+(y-4)^2=25\\) and the locus \\(x+y-12=0\\).
(A)(3, 9) and (8,4)✓✓✓
(B)(9, 3) and (4, 8)
(C)(3, 8) and (9, 4)
(D)(8, 4) and (9, 3)
2).Determine \\(a-b-c\\), if \\(a=5i-2j\\), \\(b=3i+3j\\) and \\(c=4i-j\\)
(A)\\(-2i+4j\\)
(B)\\(2i-4j\\)
(C)\\(-2i-4j\\)✓✓✓
(D)\\(2i+4j\\)
Ans: \\(-2i-4j\\)
3).Evaluate the sum of the vectors \\(\\bar{AK}+\\bar{KL}+\\bar{LP}+\\bar{PQ}\\)
(A)\\(\\bar{KP}\\)
(B)\\(\\bar{AQ}\\)✓✓✓
(C)\\(\\bar{LK}\\)
(D)\\(\\bar{AP}\\)
4).Determine the value of x so that \\(A=2i+xj+k\\) and \\(B=4i-2j-2k\\) are perpendicular.
(A)-1
(B)3✓✓✓
(C)4
(D)-2
5).Given \\(r= -i+2j+2k\\), find the magnitude of \\(r\\)
(A)2
(B)1
(C)5
(D)3✓✓✓
6).The distance between the centre of a circle and its circumference is called?
(A)Diameter
(B)Radius✓✓✓
(C)Equator
(D)Centre line
7).Determine the x and y intercepts of the ellipse equation \\(4y^2+9x^2=36
(A)(3,6)
(B)(6,2)
(C)(2,3)✓✓✓
(D)(3,2)
8).Obtain the equation of the line with slope and passing through the point (-3, 4).
(A)\\(4y-3x+1=0\\)
(B)\\(3y+4x+7=0\\)
(C)\\(4y-2x+12=0\\)
(D)\\(3y+2x-6=0\\)✓✓✓
9).Which of the following defined a unit vector a in the direction of a
(A)\\(\\hat{a}=\\frac{a}{|a|}\\)✓✓✓
(B)\\(\\hat{a}=a+|a|\\)
(C)\\(\\hat{a}=a|a|\\)
(D)\\(\\hat{a}=\\frac{|a|}{a}\\)
10).The direction of a quantity is indicated by?
(A)Line
(B)Point
(C)Arrow head✓✓✓
(D)Angle
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