Question

State in which quadrant or on which axis do the following points lie.

• A($-$3, 2), • B($-$5, $-$2), • K(3.5, 1.5), • D(2, 10),

• E(37, 35), • F(15, -18), • G(3, $-$7), • H(0, $-$5),

• M(12, 0), • N(0, 9), • P(0, 2.5), • Q($-$7, $-$3)

Answer 1

The x co-ordinate of A(−3, 2) is negative and its y coordinate is positive. Therefore, point A(−3, 2) is in the second quadrant.

The x co-ordinate of B(−5, −2) is negative and its y coordinate is negative. Therefore, point B(−5, −2) is in the third quadrant.

The x co-ordinate of K(3.5, 1.5) is positive and its y coordinate is positive. Therefore, point K(3.5, 1.5) is in the first quadrant.

The x co-ordinate of D(2, 10) is positive and its y coordinate is positive. Therefore, point D(2, 10) is in the first quadrant.

The x co-ordinate of E(37, 35) is positive and its y coordinate is positive. Therefore, point E(37, 35) is in the first quadrant.

The x co-ordinate of F(15, −18) is positive and its y coordinate is negative. Therefore, point F(15, −18) is in the fourth quadrant.

The x co-ordinate of G(3, −7) is positive and its y coordinate is negative. Therefore, point G(3, −7) is in the fourth quadrant.

The x co-ordinate of H(0, −5) is zero. Therefore, point H(0, −5) is on the Y-axis.

The y co-ordinate of M(12, 0) is zero. Therefore, point M(12, 0) is on the X-axis.

The x co-ordinate of N(0, 9) is zero. Therefore, point N(0, 9) is on the Y-axis.

The x co-ordinate of P(0, 2.5) is zero. Therefore, point P(0, 2.5) is on the Y-axis.

The x co-ordinate of Q(−7, −3) is negative and its y coordinate is negative. Therefore, point Q(−7, −3) is in the third quadrant.