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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 : A
Explanation
The Point (2, 5) lies in 1st 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 - P is a point on x-hub at a separation of 3 units from y-pivot on its right side. The co-ordinates of P are:
Answer : A
Explanation
Clearly, the co-ordinates of P are P (3, 0).
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 - The vertices of a triangle are A (3, 8), B (- 4, 2) and C (5, - 1). The region of ∆ ABC is:
Answer : B
Explanation
Here x₁=3, x₂= -4, Xᴈ = 5, y₁ =8, y₂= 2 and Yᴈ = -1 ∆ = 1/2 [x₁(y₂-Yᴈ) +x₂(Yᴈ-y₁) +Xᴈ (y₁-y₂)] =1/2 [3(2+1)-4(-1-8) +5(8-2)] = 1/2 (9+36+30) = 75/2 sq.unit.
Q 6 - In what proportion does the point P (2, - 5) separate the line fragment joining A (- 3, 5) and B (4, - 9)?
Answer : D
Explanation
Let the required ratio be ℏ:1 Then, the point P is [(4ℏ-3/ℏ+1), (-9ℏ+5/ℏ+1)] ∴ 4ℏ-3/ℏ+1 =2,-9ℏ+5/ℏ+1=-5 ⇒ 4ℏ-3= 2ℏ+2 and -9ℏ+5 = -5ℏ-5 ⇒ 2ℏ= 5 and 4ℏ=10 ⇒ ℏ= 5/2 Required ratio is 5/2:1, i.e. 5:2
Answer : A
Explanation
The slop of a horizontal line is m= tan ℴ =0
Q 8 - A line goes through the focuses A (- 2, 3) and B (- 6, 5). The slop of line AB is
Answer : A
Explanation
Slop = (y₁ ?y₂)/( x₁-x₂) = (5-3)/(-6+2) = 2/-4 =-1/2
Q 9 - The mathematical statement of a line going through the focuses A(- 1,1) and B(2,- 4) is:
Answer : B
Explanation
The equation of the line is (y-y₁)/(x-x₁) = (y₂-y₁)/(x₂-x₁) i.e., (y-1)/(x+1) = -4-1/2+1 ⇒ (y-1)/(x+1) = -5/3 ⇒ 3y-3= -5x-5 ⇒ 5x+3y+2 = 0
Q 10 - The estimation of ℏ for which the line2 x+ℏy+7= 0 and 27x-18y+25=0 are opposite to one another, is
Answer : C
Explanation
2x+ℏY+7 =0 ⇒ ℏY =-2-7 ⇒ y = -2x/ℏ- 7/ℏ 27x-18y +25 =0 ⇒ 18y = 27x+25 ⇒ y= 3x/2 +25/18 ∴ -2/ℏ *3/2 = -1 ⇒ ℏ =3.