Co-ordinate Geometry Questions & Answers: 10th (SSC) Mathematics Part 2 (Geometry), Maharashtra Board

Maharashtra SSC Geometry (Mathematics Part II) Board Paper June 2026

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Q.1 (A)(iii) What is the equation of Y-axis ?

1 mark · See worked answer →
Q.1 (B)(iv) Angle made by the line with the positive direction of X-axis is 30º. Find slope of the line.

1 mark · See worked answer →
Q.2 (B)(iv) Find the distance between the points P (–1, 1) and Q (5, –7).

2 marks · See worked answer →
Q.3 (A)(ii) If P is the midpoint of segment joining the points A (–4, 2) and B (6, 2), then complete the following activity to find the co-ordinates of point P.
Activity : In the given example, suppose
\((x_1, y_1) = (-4, 2)\), \((x_2, y_2) = (6, 2)\) and
Let co-ordinates of P are \((x, y)\).
According to midpoint formula,
\(x = \dfrac{x_1 + x_2}{2} = \dfrac{\text{____} + \text{____}}{2} = \dfrac{2}{2}\)
\(x = \text{____}\)
\(y = \dfrac{y_1 + y_2}{2} = \dfrac{\text{____} + \text{____}}{2} = \dfrac{4}{2}\)
\(y = \text{____}\)
\(\therefore\) Co-ordinates of midpoint are (1, 2).

3 marks · See worked answer →

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Q.1 (A)(3) Out of the following points ...................... lies to the right of the origin on X-axis.

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Q.1 (B)(4) Angle made by the line with the positive direction of X-axis is 45º, find the slope of line.

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Q.2 (B)(4) Find the co-ordinates of the midpoint of the line segment joining points P(0, 6) and Q(12, 20).

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Q.3 (B)(3) Find the co-ordinates of point P, if P divides the line segment joining the points A(–1, 7) and B(4, –3) in the ratio 2 : 3.

3 marks · See worked answer →

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Q.1 (A)(3) Distance of point (3, 4) from the origin is .................... .

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Q.1 (B)(3) Angle made by a line with the positive direction of X-axis is 30º. Find slope of that line.

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Q.2 (B)(4) Verify, whether points, A(1, –3), B(2, –5) and C(–4, 7) are collinear or not.

2 marks · See worked answer →
Q.3 (B)(1) Show that points P(1, –2), Q(5, 2), R(3, –1), S(–1, –5) are the vertices of a parallelogram.

3 marks · See worked answer →

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Q.1 (A)(3) A line makes an angle of 45º with the positive direction of X-axis. So the slope of the line is ....................

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Q.1 (B)(3) Find the slope of the line passing through the points A(2, 3) and B(4, 7).

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Q.2 (B)(4) Find the co-ordinates of midpoint of the segment joining the points P(22, 20) and Q(0, 16).

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Q.3 (B)(1) Find co-ordinates of point P, if P divides the line segment joining the points A(–1, 7) and B(4, –3) in the ratio 2 : 3.

3 marks · See worked answer →

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Q.1 (A)(3) Seg AB is parallel to Y-axis and co-ordinates of point A are (1, 3), then the co-ordinates of point B are ........................

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Q.2 (B)(5) Find the slope of the line passing through the points A(3, 3) and B(5, 7).

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Q.3 (B)(3) Show that points P(–2, 3), Q(1, 2), R(4, 1) are collinear.

3 marks · See worked answer →
Q.5 (2) The line \(x - 6y + 11 = 0\) bisects the segment joining the points (8, –1) and (0, k), then find the value of k.

3 marks · See worked answer →

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Q.1 (A)(3) Slope of X-axis is .................... .

1 mark · See worked answer →
Q.1 (B)(4) Angle made by the line with the positive direction of X-axis is 45º. Find the slope of that line.

1 mark · See worked answer →
Q.2 (B)(4) Find the slope of the line passing through the points A(2, 3), B(4, 7).

2 marks · See worked answer →
Q.3 (B)(1) Determine whether the points are collinear.
A(1, –3), B(2, –5), C(–4, 7)

3 marks · See worked answer →