SolveItNCERT · CBSE Boards

NCERT Exemplar · Class 9 Mathematics Coordinate Geometry

42 questions · 42 still being checked

EXERCISE 3.1 21–24 (part 3 of 6)

  1. Write the correct answer in each of the following :

    Exercise 21

    The point whose ordinate is 4\displaystyle 4 and which lies on y\displaystyle y-axis is (A) (4,0)\displaystyle (4,0) (B) (0,4)\displaystyle (0,4) (C) (1,4)\displaystyle (1,4) (D) (4,2)\displaystyle (4,2)

    Not cross-checked

    NCERT prints no numerical answer for this exercise, so this working has not been cross-checked against the book.

    NCERT’s answer
    (B)
    (B) \(\displaystyle (0,4)\).\[\text{on } y\text{-axis} \ \Rightarrow\ x = 0 \] \[\text{ordinate} = 4 \ \Rightarrow\ y = 4 \]Together these fix the point as \(\displaystyle (0,4)\).NCERT_Solution_Class9_Maths_Exemplar_Ch3_Ex3-1_Q21

  2. Exercise 22

    Which of the points P(0,3)\displaystyle \mathrm{P}(0,3), Q(1,0),R(0,−1),S(−5,0)\displaystyle \mathrm{Q}(1,0), \mathrm{R}(0,-1), \mathrm{S}(-5,0), T(1,2)\displaystyle \mathrm{T}(1,2) do not lie on the x\displaystyle x-axis? (A) P and R only (B) Q and S only (C) P, R and T (D) Q, S and T

    Not cross-checked

    NCERT prints no numerical answer for this exercise, so this working has not been cross-checked against the book.

    NCERT’s answer
    (C)
    (C) P, R and T.\[y_P=3,\ y_Q=0,\ y_R=-1,\ y_S=0,\ y_T=2 \]Q and S alone have zero ordinate and so lie on the \(\displaystyle x\)-axis; P, R and T do not.NCERT_Solution_Class9_Maths_Exemplar_Ch3_Ex3-1_Q22

  3. Exercise 23

    The point which lies on y\displaystyle y-axis at a distance of 5\displaystyle 5 units in the negative direction of y\displaystyle y-axis is (A) (0,5)\displaystyle (0,5) (B) (5,0)\displaystyle (5,0) (C) (0,−5)\displaystyle (0,-5) (D) (−5,0)\displaystyle (-5,0)

    Not cross-checked

    NCERT prints no numerical answer for this exercise, so this working has not been cross-checked against the book.

    NCERT’s answer
    (C)
    (C) \(\displaystyle (0,-5)\).\[\text{on } y\text{-axis} \ \Rightarrow\ x = 0 \] \[5 \text{ units, negative direction} \ \Rightarrow\ y = -5 \]NCERT_Solution_Class9_Maths_Exemplar_Ch3_Ex3-1_Q23

  4. Exercise 24

    The perpendicular distance of the point P (3,4)\displaystyle (3,4) from the y\displaystyle y-axis is (A) 3\displaystyle 3 (B) 4\displaystyle 4 (C) 5\displaystyle 5 (D) 7\displaystyle 7

    Not cross-checked

    NCERT prints no numerical answer for this exercise, so this working has not been cross-checked against the book.

    NCERT’s answer
    (A)
    (A) \(\displaystyle 3\).\[\text{distance from } y\text{-axis} = |x| \] \[P(3,4):\quad |3| = 3 \]NCERT_Solution_Class9_Maths_Exemplar_Ch3_Ex3-1_Q24