10th Class Mathematics Coordinate Geometry Question Bank

done Assertion and Reason MCQs - Coordinate Geometry Total Questions - 10

• question_answer1)

  Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below.

  Assertion There is no such point or X-axis which are at a distance c (c < 3) from the point (2, 3)

  Reason The distance between two points \[\left( {{x}_{1}},\,{{y}_{1}} \right)\] and \[\left( {{x}_{2}},{{y}_{2}} \right)\]is

  \[\sqrt{{{\left( {{x}_{2}}-{{x}_{1}} \right)}^{2}}+{{\left( {{y}_{2}}-{{y}_{1}} \right)}^{2}}}\]

   
  A)
  A is true, R is true; R is a correct explanation for A. done clear
  B)
  A is true, R is true; R is not a correct explanation for A. done clear
  C)
  A is true; R is False. done clear
  D)
  A is false; R is true. done clear
  View Solution play_arrow

• question_answer2)
   

  Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below.

  Assertion The distance of a points

  P (x, y) from the origin is \[\sqrt{{{x}^{2}}-{{y}^{2}}}\].

  Reason If P (-1, 1) is the mid-point of the line segment joining A (-3, b) and B (1, b + 4), then value of b is -1.

   
  A)
  A is true, R is true; R is a correct explanation for A. done clear
  B)
  A is true, R is true; R is not a correct explanation for A. done clear
  C)
  A is true; R is False. done clear
  D)
  A is false; R is true. done clear
  View Solution play_arrow

• question_answer3)

  Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below.

  Assertion If the points A (4, 3) and B (x, 5) are on the circle with centre O (2, 3), then find the value of x is 2.

  Reason If three points (0, 0), \[\left( 3,\,\sqrt{3} \right)\]and \[\left( 3,\,\lambda  \right)\]form an equilateral triangle, then \[\lambda \] equals to \[\pm \sqrt{2}\].

   
  A)
  A is true, R is true; R is a correct explanation for A. done clear
  B)
  A is true, R is true; R is not a correct explanation for A. done clear
  C)
  A is true; R is False. done clear
  D)
  A is false; R is true. done clear
  View Solution play_arrow

• question_answer4)

  Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below.

  Assertion Three points A, B, C are such that AB + BC > AC, then they are collinear.

  Reason Three points are collinear if they lie on a straight line.

   
  A)
  A is true, R is true; R is a correct explanation for A. done clear
  B)
  A is true, R is true; R is not a correct explanation for A. done clear
  C)
  A is true; R is False. done clear
  D)
  A is false; R is true. done clear
  View Solution play_arrow

• question_answer5)
   

  Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below.

  Assertion Points A(6, 4), B(- 4, - 6) and C (4, 6) are such that\[AB=\sqrt{200}\],

  \[BC=\sqrt{208},\,AC=\sqrt{8}\].

  Since, AB + BC > AC, points A,B and C form a triangle.

  Reason If \[B{{C}^{2}}=A{{B}^{2}}+A{{C}^{2}}\], then \[\Delta ABC\]is a right triangle, right angled at A.

  A)
  A is true, R is true; R is a correct explanation for A. done clear
  B)
  A is true, R is true; R is not a correct explanation for A. done clear
  C)
  A is true; R is False. done clear
  D)
  A is false; R is true. done clear
  View Solution play_arrow

• question_answer6)
   

  Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below.

  Assertion Points (3, 2), (-2, - 3) and (2, 3) form a right triangle.

  Reason If (x, y) is equidistant from (3, 6) and (-3, 4), then 3x + y = 5.

  A)
  A is true, R is true; R is a correct explanation for A. done clear
  B)
  A is true, R is true; R is not a correct explanation for A. done clear
  C)
  A is true; R is False. done clear
  D)
  A is false; R is true. done clear
  View Solution play_arrow

• question_answer7)
   

  Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below.

  Assertion In quadrilateral ABCD, if AB = BC =CD = DA and AC = BD, then ABCD is a square.

  Reason A quadrilateral is a square if all its sides are equal and the diagonals are equal.

  A)
  A is true, R is true; R is a correct explanation for A. done clear
  B)
  A is true, R is true; R is not a correct explanation for A. done clear
  C)
  A is true; R is False. done clear
  D)
  A is false; R is true. done clear
  View Solution play_arrow

• question_answer8)
   

  Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below.

  Assertion The distance between the points \[\left( 10\,\cos \,30{}^\circ ,\,0 \right)\] and \[\left( 0,\,10\,\cos \,60{}^\circ  \right)\]is 10 units

  Reason Mid-point of line segment joining (a, b) and (c, d) is given by

  \[\left( \frac{a-c}{2},\,\frac{b-d}{2} \right)\].

  A)
  A is true, R is true; R is a correct explanation for A. done clear
  B)
  A is true, R is true; R is not a correct explanation for A. done clear
  C)
  A is true; R is False. done clear
  D)
  A is false; R is true. done clear
  View Solution play_arrow

• question_answer9)

  Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below.

  Assertion The coordinates of the points which divide the line segment joining A (2, - 8) and B (-3, -7) into three equal parts are \[\left( \frac{-4}{3},\,\frac{-22}{3} \right)\]and \[\left( \frac{-4}{3},\,\frac{-22}{3} \right)\].

  Reason The points which divide AB in the ratio 1 : 3 and 3 : 1 are called points to trisection of AB.

   
  A)
  A is true, R is true; R is a correct explanation for A. done clear
  B)
  A is true, R is true; R is not a correct explanation for A. done clear
  C)
  A is true; R is False. done clear
  D)
  A is false; R is true. done clear
  View Solution play_arrow

• question_answer10)
   

  Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below.

  Assertion Mid-point of a line segment divides line in the ratio 1:1.

  Reason If area of triangle is zero that means points are collinear.

   
  A)
  A is true, R is true; R is a correct explanation for A. done clear
  B)
  A is true, R is true; R is not a correct explanation for A. done clear
  C)
  A is true; R is False. done clear
  D)
  A is false; R is true. done clear
  View Solution play_arrow