midterm

.(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)

1. 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)
2. 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
3. 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.a/b E.b/a
4. 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
5. The points A(2,-2) , B(4,2) and C is any point on AB. What is the slope of AC?
   A.1/2 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
6. 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
7. 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.51/2
   15.The slope of the line joining the point (2,2p) and (4,1) is -3/2. Then p=……….
   A.2 B.-2 C.1/2 D.-1/2 E.2/3
8. 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
9. 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
      A.(2,5) B.(1,5) C.(-2,4) D.(-1,3) E.(2,4)
2. 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
3. A pairs of the points (2,-3) and (x,4) lies on the line parallel to Y-axis, then x=………
4. In an equilateral △ABC, A(2,3), B(-1,-1), find BC.
   A.5 B.-5 C.-3 D.-9 E.2
5. 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.-c/5 C.2c D.3c E.5c
6. The coordinates of A and C are (-4,0) and (-6,0) respectively. Find the coordinate of B if
   the equation of AB