Abscissa of a point is negative in
1. I and II quadrant
2. I and IV quadrant
3. II and III quadrant
4.IV quadrant only
Abscissa of a point is positive in
1. I and II quadrants
2. I and IV quadrants
3.I quadrants only
4. II quadrant only.
Abscissa of all the points on y-axis is
1. 1
2. any number
3.0
4. -1
Any point of the form (a, – a) always lie on the graph of the equation
1.x = -a
2. y = a
3.y = x
4. x + y = 0
‘Lines are parallel if they do not intersect’ is stated in the form of:
1. an axiom
2.a definition
3.a postulate
4.a proof
Cost of book (x) exceeds twice the cost of pen (y) by Rs 10. This statement can be expressed as linear equation.
1.x – 2y – 10 = 0
2.2x – y – 10 = 0
3.2x + y – 10 = 0
4. x – 2y + 10 = 0
Equation of a line passing through origin is
1. x + y = 1
2.x = 2y – 4
3. x + y = 0
4.y = x – 1
Equation of a line which is 5 units distance above the x-axis is
1. x = 5
2.x + 5 = y
3. y – 5
4. x – y = 0
Euclid stated that all right angles are equal to each other in the form of:
1. an axiom
2.a definition
3. a postulate
4. a proof
Euclid stated that things which are equal to the same thing are equal to one another in the form of:
1.an axiom
2. a definition
3. a postulate
4. a proof
Find the value of k if x² + kx + 6 = (x + 2) (x + 3) for all k.
1. 1
2.-1
3.5
4. 3
Given four points such that no three of them are collinear, then the number of lines that can be drawn through them is:
1. 2 lines
2. 4 lines
3.6 lines
4. 8 lines
How many linear equation in x and y can be satisfied by x = 1 and y = 2?
1.only one
2. two
3. infinitely many
4.three
How many lines do pass through two distinct points?
1. 1
2.2
3.3
4.4
If (x + 2, 4) = (5, y – 2), then coordinates (x, y) are
1. (7, 12)
2.(6, 3)
3.(3, 6)
4.(2, 1)
If one angle of triangle is equal to the sum of the other two, then the triangle is
1.an isosceles triangle
2. an obtuse-angled triangle
3.an equilateral triangle
4.a right triangle
If the point P lies in between M and N and C is mid point of MP, then:
1.MC + PN = MN
2.MP + CP – MN
3.MC + CN = MN
4.CP + CN = MN
If the points A(2, 0), B(-6, 0) and C(3, a – 3) lie on the x-axis, then the value of a is
1.0
2.2
3. 3
4.-6
If x – 2 is a factor of 5x² – kx – 18, then find the value of k.
1.-1
2.1
3.0
4.5
If x represents the age of father and y represents the present age of the son, then the statement for ‘present age of father is 5 more than 6 times the age of the son’ in terms of mathematical equation is
1. 6x + y = 5
2. x = 6y + 5
3.x + 6y = 5
4. x – 6 = 5
In Indus valley civilisation (about 3000 BC), the bricks used for construction work were having dimensions in the ratio
1. 1 : 3 : 4
2.4 : 2 : 1
3.4 : 4 : 1
4. 4 : 3 : 2
In triangles ABC and DEF, AB = FD and ∠A = ∠D. The two triangles will be congruent by SAS axiom if
1. BC = EF
2. AC = DE
3.AC = EF
4. BC = DE
In which quadrant does the point (-1, 2) lies?
1.First quadrant
2. Second quadrant
3. Third quadrant
4.Fourth quadrant
Mirror image of the point (9, -8) in y-axis is
1. (-9, -8)
2. (9, 8)
3.(-9, 8)
4. (-8, 9)
Number of dimension(s) a surface has:
1.0
2.1
3. 2
4. 3
Point (0, 4) lies
1. in I quadrant
2. on x-axis
3. on y-axis
4. in IV quadrant
Straight line passing through the points (-1, 1), (0, 0) and (1, -1) has equation
1.y – x
2. x + y = 0
3. y = 2x
4. 2 + 3y = 7x
The angle of a triangle are in the ratio 5 : 3 : 7, the triangle is
1. an acute-angled triangle
2.an obtuse angled triangle
3.an right angled triangle
4.an isosceles triangle.
The condition that the equation ax + by + c = 0 represents a linear equation in two variables is
1. a ≠0, b = 0
2.b ≠0, a = 0
3.a = 0, b = 0
4. a ≠0, b ≠0
The coordinates of the point which lies on y-axis at a distance of 4 units in negative direction of y-axis is
1. (5, 4)
2.(4, 0)
3.(0, -4)
4.(-4, 0)
The graph of the equation 2x + 3y = 6 cuts the x-axis at the point
1. (0, 3)
2.(3, 0)
3. (2, 0)
4. (0, 2)
The maximum number of points that lie on the graph of a linear equation in two variables is.
1. two
2. definite
3. infinitely many
4. three
The mirror image of the point (-3, -4) in x-axis is
1. (-4, -3)
2. (3, -4)
3. (3, 4)
4. (-3, 4)
The number of dimensions, a solid has:
1. 1
2.2
3.3
4.0
The number of line segments determined by three collinear points is:
1. two
2. three
3. only one
4. four
The number of lines that can pass through a given point is
1.two
2. none
3. only one
4. infinitely many
The number of parts the coordinates axes divide the plane is
1.Two parts
2. Four parts
3. Six parts
4. Eight parts
The point M lies in the IV quadrant. The coordinates of point M are
1. (a, b)
2.(-a, b)
3.((a, -b)
4. (-a, -b)
The points (-5, 2) and (2, -5) lie in the
1.same quadrant
2. II and III quadrant respectively.
3.II and IV quadrant respectively.
4.I and IV quadrant respectively.
The things which are double of same thing are
1.equal
2. halves of same thing
3.unequal
4.double of the same thing
The things which coincide with one another are:
1. equal
2. unequal
3. half of same thing
4.triple of one another
The total number of propositions in the elements are:
1.465
2. 460
3. 13
4. 55
Two intersecting lines cannot be parallel to the same line, is stated in the form of:
1.an axiom
2.a definition
3.a postulate
4.a proof
Two planes intersect each other to form a:
1.plane
2. point
3. straight line
4. angle
Which is the example of geometrical line?
1.Blackboard
2.Sheet of paper
3. Meeting place of two walls
4. Tips of sharp pencil.
Which of the following is the equation of a line parallel to y-axis?
1. y = 0
2. x + y = z
3. y = x
4. x = a
Which of the following needs a proof?
1.theorem
2.Axiom
3. Definition
4.Postulate
Which of the following ordered pairs is a solution of the equation x – 2y – 6?
1. (2, 4)
2.(0, 3)
3. (-4, 1)
4. (4, -1)
Which of the following points lies on the negative side of x axis?
1.(-4, 0)
2.(3, 2)
3. (0, -4)
4.(5, -7)
Write the name of the quadrant in which the point (-3, -5) lies.
1. First quadrant
2.Second quadrant
3. Third quadrant
4.Fourth quadrant