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Economics And Statistics Question Paper

Economics And Statistics

Course:Economics And Statistics

Institution: Laikipia University question papers

Exam Year:2012

LAIKIPIA UNIVERSITY
MATHEMATICS DEPARTMENT
MATH 114-GEOMERTY AND LINEAR ALGEBRA CAT 1 TIME:1 HR
ANSWER ALL QUESTIONS

1.Show that the points A(3,2),B(5,1) and C(-3,-2) are vertices of a right angled triangle(3mks)
2.The line L1 passes through the points (-2,-3) and (3,5) find;(6mks)
a.the equation of L1
b.Perpendicular distance between L1 and (2,3),.
3.Find the equation of the circle with the center at (1,3) and tangent to the line 3x-4y-10=0(5mks)
4.Given the equation of conic to be y2+2y-4x+9=0,identify the conic and find;(6mks)
a.Vertex
b.focus
c.directrix
d.latus rectum
e.axis of symmetry
5.find the equation of ellipse with vertices at (0,7) and (0,-7) and minor axis of 7 units(3mks)
6.Given that A=(1,2,3) and B=(5,6,7) find.(5mks)
a.The vector projection of A onto B
b.The vector orthogonal to A and B
7.Given thev equation of two planes to be x+3y-z-9=0 and 2x-3y+9z+3=0(7mks)
find
a.the vector equation of the line intersecting the two planes.
b.the angle between two planes

Economics And Statistics Question Paper

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