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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 : B
Explanation
The point (-5, 7) lies in 2nd quadrant
Q 2 - The separation of the point A (- 5, 0) from the beginning is:
Answer : A
Explanation
OA = √ (0+5)2+ (0+0)2 = √ 25 = 5 unit.
Q 3 - The separation of the point A (2, - 3) and B (2, 2) is:
Answer : D
Explanation
AB2= (2-2) 2+ (-3-2) 2= 0+25=25 ⇒ AB =√ 25 =5 unit
Q 4 - The vertices of a triangle are A(4,4) ,B(3,- 2) ,C(- 3,16) . The range of the triangle is:
Answer : D
Explanation
Here x₁=4, x₂ = 3, Xᴈ = -3, y₁ =4, y₂= -2 and Yᴈ = 16 ∆ = 1/2 [x₁(y₂-Yᴈ) +x₂(Yᴈ-y₁) +Xᴈ (y₁-y₂)] =1/2 [4(-2-16) +3(16-4)-3(4+2)] = 1/2 [(-72+36-18)] = 27 sq. units.
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 - 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)
Answer : A
Explanation
The slop of a horizontal line is m= tan ℴ =0
Q 8 - On the off chance that for a line m= tan ℴ<0, then
Answer : D
Explanation
m tan ℴ <0 ⇒ ℴ is obtuse.
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 mathematical statement of a line passing through (3, 4) and parallel to x-pivot is:
Answer : C
Explanation
The equation of the line is y+4/x-3 = tan0= 0 ⇒ y+4 = 0
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