Home › ICSE Class 9 › mathematics › Co-ordinate Geometry › Distance between two points (x1, y1) and (x2, y2…
Distance between two points (x1, y1) and (x2, y2) is given by
A(x1 + y1)(x2 + y2) overall
B(x2 - x1) + (y2 - y1) directly
Csqrt(x1 * x2 + y1 * y2) only
Dsqrt((x2 - x1)^2 + (y2 - y1)^2)
Answer & Solution
Correct answer: D. sqrt((x2 - x1)^2 + (y2 - y1)^2)
1. Form a right triangle with the segment as hypotenuse.
2. Legs are |x2 - x1| and |y2 - y1|.
3. By Pythagoras the distance squared is (x2 - x1)^2 + (y2 - y1)^2.
4. So option A is correct.
_Source: Selina Concise Mathematics Class 9, Ch 26 Co-ordinate Geometry (Mistral OCR'd PDF), section on distance formula_
Related questions
The mid-point of the segment joining (-2, -3) and (4, 5) isThe point P(-3, -4) lies inThe distance of point (5, 0) from the origin isIf P(2, 3) is shifted 4 units right and 1 unit down, the new co-ordinates areThe point (0, -5) lies onIf a point is reflected in the y-axis, the new co-ordinates of (a, b) becomeIf a point is reflected in the x-axis, the new co-ordinates of (a, b) becomeThe mid-point of the segment joining (2, 3) and (6, 7) is