- Aptitude - Home
- Aptitude - Overview
- Quantitative Aptitude
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 : B
Explanation
The point (-5, 7) lies in 2nd 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 - The focuses A (0,6),B(- 5,3) and C(3,1) are the vertices of a triangle which is:
Answer : A
Explanation
AB2= (-5-0) 2+ (3-6) 2= (-5) 2+ (-3) 2= (25+9) = 34 BC2= (3+5) 2+ (1-3) 2= (8) 2+ (-2) 2= 64+4 = 68 AC2= (3-0) 2+ (1-6) 2= (3) 2+ (-5) 2= 9+25 = 34 ∴ AB= AC. Hence, ∆ABC is isosceles.
Q 4 - The focuses A (- 3, 0), B (1, - 3) and C (4, 1) are the vertices of
Answer : B
Explanation
AB2= (1+3) 2+ (-3-0) 2= 16+9= 25 BC2= (4-1) 2+ (1+3) 2=9+16= 25 AC2= (4+3) 2+ (1-0) 2= 49+1= 50 Clearly, AB= BC and AB2+BC2= AC2 ∴ ∆ABC is ab isosceles right angle triangle.
Q 5 - In the event that the focuses A (2, 3), B (5, ℏ) and C (6, 7) are collinear, then ℏ=?
Answer : B
Explanation
Here x₁=2, x₂= 5, Xᴈ = 6, y₁ =3, y₂= ℏ and Yᴈ = 7 ∆ = 1/2 [x₁(y₂-Yᴈ) +x₂(Yᴈ-y₁) +Xᴈ (y₁-y₂)] 2(ℏ-7) +5(7-3) +6(3-ℏ) =0 4ℏ= 24 ℏ=6
Q 6 - A point C partitions the join Of A (1, 3) and B (2, 7) in the proportion 3:4. The co-ordinates of C are:
Answer : C
Explanation
Co-ordinates of C are [(5*2+4*1/3+4), (3*7+4*3/ 3+4) i.e. (10/7, 33/7)
Q 7 - In what proportion is the line portion joining the focuses A (6, 3) and B (- 2, - 5) partitioned by the x-hub?
Answer : C
Explanation
Let x-axis cut the join of A (6, 3) and B (-2,-5) in the ratio ℏ:1 at the point. Then, co-ordinates of P are P [(-2ℏ+6/ℏ+1), (-5ℏ+3/ℏ+1) But, P lies on x-axis. So, its ordinate is 0. ∴ -5ℏ+3/ℏ+1 =0 ⇒ -5ℏ+3 =0 ⇒ ℏ= 3/5 Required ratio is 3/5:1 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 slop of a line going through the focuses A (2, 5) and B(x, 3) is 2, then x=?
Answer : A
Explanation
(3-5)/x-2 =2 ⇒ 2x-4 =-2 ⇒ 2x =2 ⇒ x= 1
Q 10 - The point made by the line x+√3y-6 =0 with positive course of x-pivot is
Answer : B
Explanation
x+√3y-6= 0 ⇒ √3y= -x+6 ⇒ y = -1x/ √3+ 6/√3 ∴ m = tan ℴ =-1/√3 = -tan 30⁰ = tan (180⁰-30⁰) = tan150⁰ ∴ ℴ = 150⁰