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Aptitude - Co-ordinate Geometry Online Quiz
Following quiz provides Multiple Choice Questions (MCQs) related to Co-ordinate Geometry. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.
Answer : C
Explanation
The point (-3,-5) lies in 3rd quadrant
Q 2 - On which pivot does the point (0, - 5) lies?
Answer : B
Explanation
The point (0,-5) lies on y axis.
Q 3 - A will be a point on y-pivot at a separation of 4unit from y-hub lying underneath x-hub. The co-ordinates of an are:
Answer : D
Explanation
Clearly, The co- ordinates Of A are A (0,-4).
Q 4 - The focuses A (1,2) ,B(5,4) ,C(3,8) and D(- 1,6) taken all together are the vertices of
Answer : C
Explanation
AB2= (5-1) 2+ (4-2) 2= (16+4) = 20 BC2= (3-5) 2+ (8-4) 2= (4+16) = 20 CD2= (-1-3) 2+ (6-8) 2= (16+4) = 20 DA2= (1+1) 2+ (2-6) 2= (4+16)=20 ∴ AB= BC= CD= DA= √20 Diagonal AC2= (3-1) 2+ (8-2) 2= (4+36) = 40 Diagonal BD2= (-1-5) 2+ (6-4) 2= (36+4) = 40 ∴ Diag AC= Diag BD =√40 ∴ ABCD is a square.
Q 5 - The vertices of a ∆ ABC are A (- 3, 0), B (5, - 2) and C (- 8, 5). The centroid of ∆ABC is:
Answer : B
Explanation
Centroid = {1/3 (x₁ +x₂+Xᴈ), 1/3
(y₁+y₂+yᴈ)} = {1/3(-3+5-8), 1/3 (0-2+5)}
= (-2, 1)
Q 6 - The end purposes of a line section AB are A (- 5, 4) and B (7, - 8). Its mid point is:
Answer : A
Explanation
Mid point is C = [(-5+7/2), (4-8/2), i.e. (1,-2)
Q 7 - x-pivot partitions the join of A (2, 3) and B (5, 6) in the proportion
Answer : A
Explanation
Let the required ratio be ℏ:1. Then, its co- ordinates are (5ℏ+2/ ℏ+1, 6ℏ-3/ℏ+1) But, it lies on x-axis. So, its ordinate is 0. ∴ 6ℏ-3/ℏ+1 =0 ⇒ 6ℏ-3 =0 ⇒ ℏ=1/2 Required ratio is 1/2:1 i.e., 1:2
Q 8 - The slop of a line going through the focuses A (4, 3) and B (6, 3) is:
Answer : C
Explanation
Slop = (y₁ ?y₂)/( x₁-x₂) = (-3+3)/(6-4) =0/2 =0
Q 9 - On the off chance that the slant of a line joining the focuses A(x,- 3) and B(2,5) is 135⁰ then x=?
Answer : D
Explanation
Slop of AB = (5+3)/(2-x) =8/2-x ∴ 8/2-x = tan135⁰ = tan (180⁰- 45⁰) = -tan 45⁰ =-1 8/2-x = -1 ⇒8 = x-2 ⇒ x= 10
Q 10 - The lines x+2y-9 =0 and 3x+6y+8 =0 are commonly.
Answer : A
Explanation
x+2y-9 =0 ⇒ 2y = -x+9 ⇒ y= -x/2+9/2 3x+6y+8 =0 ⇒ 6y= -3x-8 ⇒ y=-x/2 -4/3 ∴ m₁: m₂ = -1/2 Hence, the given lines are parallel.