Introduction

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9Math Q02-1001
Chapter 2
Introduction to Coordinate Geometry
1.The point which lies in the fourth quadrant is
A.(3,2) B.(3,-2) C.(-3,2) D.(-3,-2) E.(3,0)

1. The point on the Y –axis is
   A.(4,-5) B.(4,0) C.(0,-5) D.(-4,-5) E.(-4,5)
   3.The point in the X-axis is
   A.(-1,6) B.(1,-6) C.(-1,-6) D.(0,6) E.(6,0)
2. Which pair of points given below will determine a vertical line?
   A.(3,5) and (-3,5) B.(2,3) and (3,2) C. (2,4) and (2,-2)
   D.(4,7) and (-3,7) E.(0,5) and (3,0)
3. Which pair of points given below will determine a horizontyal line?
   A.(3,5) and (-3,5) B.(4,2) and (2,4) C. (6,1) and (-6,-1)
   D.(4,7) and (-3,7) E.(0,5) and (3,0)
   6.Which of the following statement is (are) true?
   1.If m>0 , then the segment makes an actual angle with the positive direction of X-axis.
   1. If m<0 , the line segment makes an obtuse angle with the positive direction of X-axis.
   2. If m is either positive or negative, then the line segment is nonvertical.
      A.1 only B. 2only C. 1and3 only D. 2and3 only E. 1,2 and 3
4. The point M(0,5) bisects the line joining P(4,0)and Q(x,y), then the coordinate of Q is
   A.(2,5) B.(4,5) C. (-4,10) D.(-4,-10) E.(-4,-5)
   8.a and b ate two real numbers and a≠b, then the slope of the through(a,b) and (b,-a) is
   A.0 B.1 C.-1 D.ab E.ba
5. The slope of the line joining the points(x,-3) and (9,11) is 2 then x=…………
   A.8 B.4 C.-4 D. 2 E.-2
6. The points A(2,-2) , B(4,2) and C is any point on AB. What is the slope of AC?
   A.12 B.1 C.2 D.-2 E.-1
   11.If the points D(-4,6), E(1,1) and F(x,y) are collinear, then x+y=…………
   A.2 B.1 C.3 D.-1 E.-2
7. Given that the points A(-5,4), B(3,5), C(7,-2) and D(-1,-3). The measurement of the angle
   between AC and BD is
   A.0° B.30° C.45° D.60° E.90°
   13.Given that the points P(-12,1), Q(9,3) and R(11,-18). Which of the following is true?
   1.R is on PQ 2.PQ⊥QR 3.△PQR is a right triangle
   A.1 only B. 2only C. 1and3 only D. 2and3 only E. 1,2 and 3
8. The line containing the points (k,3) and (-2,1) is parallel to the line through (5,k) and
   (1,0), then k=………
   A. 4 B. 2 C. 3 D. 5 E.512
   15.The slope of the line joining the point (2,2p) and (4,1) is -32. Then p=……….
   A.2 B.-2 C.12 D.-12 E.23
9. If the points (1,1),(3,2) and (9,k) are on the same straight line , then k=……..
   A.4 B.5 C.6 D.7 E.21
   17.The distance between the points (3,8) and (-5,-7) is
   A.8 B.15 C.17 D.18 E.21
10. The line 2x+3y=6 cuts the X-axis at
    A. (0,3) B.(0,2) C.(0,6) D.(2,0) E.(3,0)

19.The line 3x + 4y=12 cuts the Y-axis at
A.(0,2) B.(2,0) C.(3,0) D.(0,3) E.(0,4)

1. Which of the following points, lies on the line 2x+y=6?
   1. (1,4) 2.(0,6) 3.(2,0)
      A.1 only B. 2only C. 1and3 only D. 2and3 only E. 2 and 3 only
2. PQRS is a rectangle with the points P(-1,0) , Q(2,0) and R(2,3). Then the coordinate of
   the point S is
   A.(2,5) B.(1,5) C.(-2,4) D.(-1,3) E.(2,4)
3. The distance between the points (0,y) and the origin is 5. Then y=…….
   A.5 B.-5 C.±5 D.25 E. undefined
   23.A triangle has vertices at (-3,0), (4,0) and (0,8). The area of the triangle is
   A.56 B.28 C.-4 D.-28 E. None of these
4. A pairs of the points (2,-3) and (x,4) lies on the line parallel to Y-axis, then x=………
5. In an equilateral △ABC, A(2,3), B(-1,-1), find BC.
   A.5 B.-5 C.-3 D.-9 E.2
6. If c≠ 0 and the slope of the line passing through (-c,c) and (3c,a) is 1, which of the
   following is an expression for a in terms of c?
   A.-3c B.-c5 C.2c D.3c E.5c
7. The coordinates of A and C are (-4,0) and (-6,0) respectively. Find the coordinate of B if
   the equation of AB is y=-2x-8.
   A.(0,6) B.(4,-6) C.(5,-4) D.(-6,4) E.(6,4)

28.The distance between the origin and the point (-5,12) is
A.5 B.12 C.7 D.13 E.17

1. △ABC has vertices A(0,7), B(5,-5) and C(10,7). The area of △ABC is
   A.50 B.60 C.80 D.120 E.140
   30.△ABC is an isosceles right triangle with ∠B=90°. If A(3,-2),B(2,-1), then AC=…
   A. 2 B.1 C.2 D.3 E.4
2. What is the perimeter of a triangle with vertices at the points (1,4),(1,7) and (4,4)?
   A. 3+2 B.32 C.6 D.6+32 E.9+32
   32.The point on the X-axis which is equidistance from (4,4) and (5,3) is
   A. (0,0) B.(-1,0) C.(2,0) D.(1,0) E.(3,0)
3. The slope of the equation 2x-y=7 is
   A. -2 B.2 C.-7 D.7 E.-72
   34.Which of the following statement(s) is (are) true?
   1.The line 2x=3 is parallel to Y-axis.
   1. The line x+y=2 and 2x+2y=7 are parallel.
   2. The distance between the points (0,3) and (0,-3) is 6.
      A.1 only B. 2only C. 1and3 only D. 2and3 only E. 1,2 and 3
      35.The slope of the line which is perpendicular to the line 2y=3x+4 is
      A.-23 B.1.5 C.4 D.13 E.2
4. The points (0,3) , (4,0) line on the line,
   A.4y=3x B.3x+4y=1 C.4x+3y=1 D.3x+4y=12 E.4x+3y=12

1. A straight line passing through the points (0,1) and (2,7).The equation of the line is
   A. y=-3x-1 B. y=3x-1 C. y=3x+1 D. y=3x7-1 E.y=7x3+1
2. The line y=mx + c is perpendicular to the line y=4-3x. Find m.
   A.3 B.13 C. -3 D.-13 E.-1
   39.If two lines 2x-y+3=0 and ax+3y-1=0 are parallel, then a=…..
   A. -6 B.-2 C.2 D.3 E.6
3. The line joining (3,3) and (-1,6) cut the X-axis at
   A.(0,5) B.(5,0) C.(0,-5) D.(-5,0) E.(5,-5)

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