PES SS 2 Further Math 1st Term Exam 2025-2026
  • 1. 1. What is the ordinate of a point located on (2, -1)?
A) 1
B) -1
C) 2
D) -2
  • 2. 2. The distance between two points ( 5, 3) and (9, 6)
A) 4
B) 2
C) 5
D) 3
  • 3. 3. The co ordinate of the mid point of a straight line is given from
A) (√(x1+x2)/2, (y1+y2)/2)
B) ((x1+x2)/2, (y1+y2)/2)
C) (√Px2+ x1/p+1, py2+y1/p+1)
D) (Px2+ x1/p+1, py2+y1/p+1)
  • 4. 4. The gradient of a line is given as tan¢, where the ¢ is
A) Intercept of the line with the positive y-axis
B) Intercept of the line with the positive x-axis
C) Intercept of the line with the negative y-axis
D) Intercept of the line with the negative x-axis
  • 5. 5. Find the distance between the points (3,–2) and (—4,5)
A) 8.91
B) 67
C) 10
D) 9.899
  • 6. 6. State the co ordinate of the mid point of the line joining (p, p+1) and (p–1,2p+1)
A) (2p–1/2, 3p+2/2)
B) (4p, 7p)
C) (4p)
D) (0p, 7+p/2)
  • 7. 7. Find the coordinates of the midpoint of the line joining (0,2) and (6,0).
A) (3,1)
B) (3,7)
C) (8,0)
D) (5,1)
  • 8. 8. Find the ratio in which P(2,3) divide the line joining A(–2,–1) and B(3,4) internally.
A) 2:3
B) 3:4
C) 1:2
D) 4:1
  • 9. 9. Find the distance between the points A(–4,5) ,B(6,–7)
A) 13.62
B) 8.91
C) 10.12
D) 15.62
  • 10. 10. Points that line on the same straight line with the same gradients are?
A) Collinear points
B) Catapult points
C) Coordinates
D) Crazy Jeans
  • 11. 11. Determine the equation of the line joining slope –3 and y intersect 5.
A) y=–3x+5
B) x=–3y+5
C) x=5y-3
D) y=5x–3
  • 12. 12. If two lines intersect, the co ordinate of the point of intersection must satisfy
A) One of the equations
B) The equivalent point
C) Both equations
D) Neither of the equations
  • 13. 13. The coordinate of the point dividing a line internally is given from
A) (Px2+ x1 /p+1, py2+y1 /p+1)
B) (Px2- x1/p-1, py2-y1/p-1)
C) (mx2-mx1 /m-n, my2-ny1/ m-n)
D) (mx2+mx1 /m+n, my2+ny1/ m+n)
  • 14. 14. y-y1= y2-y1 /x2-x1 (x-x1) is used to find the equation of a line given
A) Slope and y intercept
B) Angle of +x-axis
C) Two points
D) One point and gradient
  • 15. 15. ax+by+c=0 is known as
A) Quadratic equation
B) General straight line equation
C) Equation of gradient and y intercept
D) Slope and one point equation
  • 16. 16 Two parallel straight lines of gradient m1 and m2 are related by
A) m2-m1 /1+m2m1
B) m2=m1
C) m2+m1 /1-m2m1
D) m2m1=1
  • 17. 17 The coordinate of the points of intersection of 2x-3y=8 and 3x+4y+5=0 is
A) (-1,2)
B) (1,2)
C) (-1,-2)
D) (1,-2)
  • 18. 18. The point of intersection of any two lines is
A) More than one point
B) a single point
C) None
D) Both
  • 19. 19. Parallel lines meet at angle
A) 0⁰
B) 150⁰
C) 90⁰
D) 30⁰
  • 20. 20. Find the equation of the line which passes through (-4,5) and is parallel to y= 2x+5
A) y= 3x+13
B) y= 2x+5
C) y= 3x+5
D) y= 2x+13
  • 21. 21. If two lines intersect, the co-ordinate of the point of intersection must satisfy?
A) Both equations
B) Quadratic equation
C) None of the equations
D) Linear equation
  • 22. 22. The first, second and third straight line equations can be rewritten in the form of the?
A) Second
B) Third
C) First
D) Fourth
  • 23. 23The coordinates of a point are written in the form
A) (x, y)
B) (y, x)
C) (a, b, c)
D) (m, c)
  • 24. 24. The point where the x-axis and y-axis meet is called the?
A) Origin
B) Centre
C) Midpoint
D) Vertex
  • 25. 25. A point on the y-axis always has?
A) negative x value
B) x-coordinate zero
C) y-coordinate zero
D) x = y
  • 26. 26. A point lies on the x-axis if its?
A) equal x and y
B) negative x value
C) y-coordinate is zero
D) x-coordinate is zero
  • 27. 27. A straight line that rises from left to right has?
A) positive slope
B) Negative slope
C) zero slope
D) Undefined slope
  • 28. 28. A vertical line has a slope that is,?
A) undefined
B) zero
C) positive
D) negative
  • 29. 29. A horizontal line has a gradient that is?
A) Infinite
B) undefined
C) zero
D) one
  • 30. 30. A line that slopes downward from left to right has
A) undefined gradient
B) negative gradient
C) zero gradient
D) positive gradient
  • 31. The distance between a point and itself is always
A) one
B) positive
C) undefined
D) zero
  • 32. The midpoint of a line segment divides it into
A) two unequal parts
B) equal halves
C) three equal parts
D) four equal parts
  • 33. Which of the following is a property of parallel lines?
A) They never meet
B) They form a triangle
C) They intersect at right angles
D) They intersect at one point
  • 34. line with equation y = mx + c has slope equal to
A) –c
B) m
C) c
D) –m
  • 35. The point (–4, 0) lies on the
A) second quadrant
B) first quadrant
C) third quadrant
D) x-axis
  • 36. The point (0, 7) lies on the
A) y-axis
B) x-axis
C) line y = x
D) origin
  • 37. The equation y = –3 represents
    .
A) a horizontal line
B) a vertical line
C) a parabola
D) a diagonal line
  • 38. The equation of a straight line is generally written as
A) mx + c = y
B) ax + by + c = 0
C) x² + y² = r²
D) x = y²
  • 39. The equation x = 5 represents
A) a vertical line
B) a horizontal line
C) a slanted line
D) a circle
  • 40. The slope of two perpendicular lines satisfies the relation
A) sum of slopes = –1
B) product of slopes = 0
C) product of slopes = –1
D) product of slopes = 1
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