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Coordinate Geometry
Mathematics · CBSE Class 10 · English Medium · 20 questions and answers
Sample questions
- Q: How do you check if three points are collinear using distances?
- A: They are collinear if the sum of two of the pairwise distances equals the third (largest) distance.
- Q: Write the distance formula between A(x_1,y_1) and B(x_2,y_2).
- A: AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}.
- Q: Write the distance of a point (x,y) from the origin.
- A: \sqrt{x^2+y^2}.
- Q: State the section formula for a point dividing A(x_1,y_1), B(x_2,y_2) in ratio m:n.
- A: \left(\dfrac{mx_2+nx_1}{m+n},\ \dfrac{my_2+ny_1}{m+n}\right).
- Q: Write the midpoint formula for A(x_1,y_1) and B(x_2,y_2).
- A: \left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right).
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