Distance formula MCQs
Practice Distance formula multiple-choice questions from Coordinate Geometry (Class 10 Maths) - tap an answer for instant feedback and a step-by-step solution. Practice the full set free on the RankByte app.
Distance formulaQuiz - Solve & Score
Q1. Three points are collinear if the distances satisfy (NCERT):
- A.their product is 0
- B.largest = sum of the other two
- C.squares equal
- D.all equal
Answer: B. largest = sum of the other two
Asked for the unknown; data is laid out in the stem. By apply the distance formula d = sqrt((x2-x1)^2 + (y2-y1)^2) to the two given points. apply the distance formula d = sqrt((x2-x1)^2 + (y2-y1)^2) to the two given points. substitute the coordinates and square the differences. Putting it together option B) largest = sum of the other two. Others fail: option A) 'their product is 0' is incorrect: Distances are positive; option C) 'squares equal' doesn't hold - Use AB + BC = AC.
Q2. If (k,0) is equidistant from (1,5) and (-4,3), then... the method is (NCERT):
- A.use the area formula
- B.equate the squared distances and solve k
- C.use the midpoint
- D.guess k
Answer: B. equate the squared distances and solve k
Q3. Find the distance between the points (3, 4) and (9, 12); then state whether it is a rational number.
- A.10, irrational
- B.100, rational
- C.14, rational
- D.10, rational
Answer: D. 10, rational
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