10th Class Mathematics Coordinate Geometry Question Bank

done Case Based MCQs - Coordinate Geometry Total Questions - 25

• question_answer1)

  Directions: Q. 1 to 5

  Malika and Karishma are friends living on the same street in Govindpuri.

  Karishma's house is at the intersection of one street with another street on which there is a temple. They both study in the same school and that is not far from Karishma's house.

  Suppose the school is situated at the point O, i.e., the origin, Malika's house is at P Karishma's house is at Q and temple is at R.

  Based on the above information, answer the following questions.

  How far is Malika's house from Karishma's house?
  A)
  3 units done clear
  B)
  4 units done clear
  C)
  5 units done clear
  D)
  2 units done clear
  View Solution play_arrow

• question_answer2)
  How far is the temple from Karishma's house?
  A)
  3 units done clear
  B)
  2 units done clear
  C)
  5 units done clear
  D)
  4 unite done clear
  View Solution play_arrow

• question_answer3)
  How far is the temple from Malika's house?
  A)
  \[2\sqrt{2}\]units done clear
  B)
  \[3\sqrt{2}\]units done clear
  C)
  \[4\sqrt{2}\]units done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer4)
  Which of the following is true?
  A)
  PQR forms a scalene triangle done clear
  B)
  PQR forms an isosceles triangle done clear
  C)
  PQR forms an equilateral triangle done clear
  D)
  None of the above done clear
  View Solution play_arrow

• question_answer5)
  How far is the school from Malika's house?
  A)
  \[2\sqrt{3}\]units done clear
  B)
  \[\sqrt{5}\]units done clear
  C)
  \[\left( \sqrt{13}+\sqrt{5} \right)\]units done clear
  D)
  \[\left( \sqrt{13}-\sqrt{5} \right)\]units done clear
  View Solution play_arrow

• question_answer6)
   

  Directions: Q. 6 to 10

  Anmol is driving his car on a straight road towards East from his office to Noida and then to Delhi. At some point in between Noida and Delhi, he suddenly realises that there is not enough Petrol for the journey. Also, there is no Petrol pump on the road between these two cities.

  Based on the above information, answer the following questions.

  The value of y is equal to
  A)
  2 done clear
  B)
  3 done clear
  C)
  4 done clear
  D)
  5 done clear
  View Solution play_arrow

• question_answer7)
  The value of x is equal to
  A)
  4 done clear
  B)
  5 done clear
  C)
  8 done clear
  D)
  9 done clear
  View Solution play_arrow

• question_answer8)
  If At is any point exactly in between Noida and Delhi, then coordinates of M are
  A)
  (3,3) done clear
  B)
  (6,5,9) done clear
  C)
  (5,5) done clear
  D)
  (6,6) done clear
  View Solution play_arrow

• question_answer9)
  The ratio in which Noida divides the line segment joining the office and Delhi is
  A)
  1:4 done clear
  B)
  2:1 done clear
  C)
  3:2 done clear
  D)
  2:3 done clear
  View Solution play_arrow

• question_answer10)
  If Anmol analyse the CNG at the point M (the mid point of Noida-Delhi), then what should be his decision?
  A)
  Should he travel back to office done clear
  B)
  Should try his luck to move towards Delhi done clear
  C)
  Should be travel back to Noida done clear
  D)
  None of the above done clear
  View Solution play_arrow

• question_answer11)
   

  Directions: Q. 11 to 15

  In order to conduct Sports Day activities in your School, lines have been drawn with chalk powder at a distance of 1 m each, in a rectangular shaped ground ABCD, 100 flowerpots have been placed at a distance of 1 m from each other along AD, as shown in given figure below. Niharika runs 1/4 th the distance AD on the 2nd line and posts a green flag. Preet runs \[\frac{1}{5}\]th distance AD on the eighth line and posts a red flag.

  Find the position of green flag
  A)
  (2,25) done clear
  B)
  (2,0.25) done clear
  C)
  (25,2) done clear
  D)
  (0,-25) done clear
  View Solution play_arrow

• question_answer12)
  Find the position of red flag
  A)
  (8,0) done clear
  B)
  (20,8) done clear
  C)
  (8,20) done clear
  D)
  (8,0.2) done clear
  View Solution play_arrow

• question_answer13)
  What is the distance between both the flags?
  A)
  \[\sqrt{41}m\] done clear
  B)
  \[\sqrt{11}m\] done clear
  C)
  \[\sqrt{61}m\] done clear
  D)
  \[\sqrt{51}m\] done clear
  View Solution play_arrow

• question_answer14)
  If Rashmi has to post a blue flag exactly halfway between the line segment joining the two flags, where should she post her flag?
  A)
  (5,22.5) done clear
  B)
  (10,22) done clear
  C)
  (2,8.5) done clear
  D)
  (2.5,20) done clear
  View Solution play_arrow

• question_answer15)
  If Joy has to post a flag at l/4th distance from green flag, in the line segment joining the green and red flags, then where should he post his flag?
  A)
  (3.5,24) done clear
  B)
  (0.5,12.5) done clear
  C)
  (2.25,8.5) done clear
  D)
  (25,20) done clear
  View Solution play_arrow

• question_answer16)
   

  Directions: Q. 16 to 20

  In a cinema hall, peoples are seated at a distance of 1 m from each other, to maintain the social distance due to CORONA virus pandemic. Let three peoples sit at points P, Q and R whose coordinates are (6, - 2), (9, 4) and (10, 6) respectively.

  Based on the above information, answer the following questions.

  The distance between P and R is
  A)
  \[\sqrt{5}\]units done clear
  B)
  \[4\sqrt{5}\]units done clear
  C)
  \[3\sqrt{5}\]units done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer17)
  If a TC at the point I, lying on the straight line joining Q and R such that it divides the distance between them in the ratio of 1 : 2. Then coordinates of I are
  A)
  \[\left( \frac{22}{3},\,\frac{11}{3} \right)\] done clear
  B)
  \[\left( \frac{28}{3},\,\frac{14}{3} \right)\] done clear
  C)
  \[\left( 6,\,1 \right)\] done clear
  D)
  \[\left( 9,\,1 \right)\] done clear
  View Solution play_arrow

• question_answer18)
  The mid-point of the line segment joining P and R is
  A)
  (1,6) done clear
  B)
  (6,1) done clear
  C)
  \[\left( \frac{11}{2},\,0 \right)\] done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer19)
  The ratio in which Q divides the line segment joining P and R is
  A)
  2:1 done clear
  B)
  3:1 done clear
  C)
  1:2 done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer20)
  The points P, Q and R lies on
  A)
  a straight line done clear
  B)
  an equilateral triangle done clear
  C)
  a scalene triangle done clear
  D)
  an isosceles triangle done clear
  View Solution play_arrow

• question_answer21)
   

  Directions: Q. 21 to 25

  To raise social awareness about hazards of cancer, an organisation decided to start a campaign. 5 students were asked to prepare campaign banners in the shape of a triangle. The vertices of the triangle are, A (0,6), 5(6, 6) and C(1, 1).

  Based on the above information, answer the following questions.

  The coordinates of centroid of \[\Delta ABC\] are
  A)
  \[\left( \frac{2}{3},\,\frac{7}{3} \right)\] done clear
  B)
  \[\left( \frac{7}{3},\,\frac{13}{3} \right)\] done clear
  C)
  \[\left( \frac{-2}{3},\,\frac{7}{3} \right)\] done clear
  D)
  \[\left( \frac{7}{3},\,\frac{2}{3} \right)\] done clear
  View Solution play_arrow

• question_answer22)
  If S be the mid-point of line joining A and B, then coordinates of S are
  A)
  (4, 0) done clear
  B)
  (2, 0) done clear
  C)
  (3, 6) done clear
  D)
  (0,4) done clear
  View Solution play_arrow

• question_answer23)
  If T be the mid-point of the line joining C and B, then coordinates of T are
  A)
  \[\left( \frac{1}{2},\,\frac{1}{2} \right)\] done clear
  B)
  \[\left( \frac{3}{2},\,\frac{1}{2} \right)\] done clear
  C)
  \[\left( \frac{1}{2},\,\frac{3}{2} \right)\] done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer24)
  If U be the mid-point of line joining C and A then coordinates of U are
  A)
  \[\left( -\frac{5}{2},\,\frac{3}{2} \right)\] done clear
  B)
  \[\left( \frac{1}{2},\,\frac{7}{2} \right)\] done clear
  C)
  \[\left( \frac{3}{2},\,\frac{5}{2} \right)\] done clear
  D)
  \[\left( \frac{5}{2},\,\frac{3}{2} \right)\] done clear
  View Solution play_arrow

• question_answer25)
  The coordinates of centroid of \[\Delta STU\] are
  A)
  \[\left( \frac{2}{3},\,\frac{7}{3} \right)\] done clear
  B)
  \[\left( \frac{1}{3},\,\frac{1}{3} \right)\] done clear
  C)
  \[\left( -\frac{2}{3},\,\frac{7}{3} \right)\] done clear
  D)
  \[\left( \frac{7}{3},\,\frac{13}{3} \right)\] done clear
  View Solution play_arrow