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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.
Q 1 - On which pivot does the point (6, 0) lies?
Answer : A
Explanation
The point lies on (6, 0) lies on x-axis.
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 quadrilateral ABCD are A(0,0) ,B(4,4) ,C(4,8) and D(0,4).Then ABCD is a
Answer : D
Explanation
AB2= (4-0) 2+ (4-0) 2= 32 BC2= (4-4) 2+ (8-4) 2= 0+16= 16 CD2= (0-4) 2+ (4-8) 2= (16+16) = 32 AB= CD= √32 = 4√2, BC= AD =√16 = 4 AC2= (4-0) 2+ (8-0) 2= (16+64) = 80 BD2= (0-4) 2+ (4-4) 2= 16+0= 16 ∴ Diag = AC≠Diag BD. ∴ ABCD is a parallelogram.
Q 5 - The end purposes of the distance across of a circle are A (4,- 1) and B(- 2,- 5). The co-ordinates of its middle are:
Answer : A
Explanation
Co-ordinates of the center are [4+ (-2)/2, -1+ (-5)/2], i.e. (1,-3)
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 - 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 - On the off chance that for a line m= tan ℴ =0 then the line is
Answer : B
Explanation
When m=0, the line is vertical.
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.