Distance, section formula, area of trianglePractice Questions & MCQs
Practice Distance, section formula, area of triangle questions from Coordinate Geometry (Class 10 Maths) - important MCQs with answers and step-by-step solutions. Solve the sample questions below, then practice the full set free on the RankByte app.
Distance, section formula, area of triangleQuiz - Solve & Score
Q1. On a treasure map ruled in metre squares a chest sits at (-1, -8) while an old well lies at (1, -3); what straight-line distance separates them?
- A.7
- B.29
- C.sqrt(29)
- D.sqrt(21)
Answer: C. sqrt(29)
Distance = sqrt((x2-x1)^2+(y2-y1)^2) = sqrt((2)^2+(5)^2) = sqrt(4+25) = sqrt(29) = sqrt(29).
Q2. A vacuum robot parked at (3, 8) on a floor plan in metres glides directly to a spill at (5, -3); what is the length of its diagonal route?
- A.13
- B.5*sqrt(5)
- C.125
- D.3*sqrt(13)
Answer: B. 5*sqrt(5)
Distance = sqrt((x2-x1)^2+(y2-y1)^2) = sqrt((2)^2+(-11)^2) = sqrt(4+121) = sqrt(125) = 5*sqrt(5).
Q3. Two phone towers are plotted on an engineer's km grid at (-5, 6) and (0, 4); what is the gap between the towers?
- A.sqrt(21)
- B.sqrt(29)
- C.7
- D.29
Answer: B. sqrt(29)
Distance = sqrt((x2-x1)^2+(y2-y1)^2) = sqrt((5)^2+(-2)^2) = sqrt(25+4) = sqrt(29) = sqrt(29).
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Yes. These Distance, section formula, area of triangle important questions follow the Maths exam pattern (CBSE Boards, plus JEE and NEET foundation), so they help with both school and competitive prep.
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