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