Q3. Prove that the square of the distance between the two points (x₁ , y₁) and (x₂ , y₂) of the circle x² +y² = a² is 2(a²-x₁x₂-y₁y₂).

Question

Q3. Prove that the square of the distance between the two points (x 1 , y 1 ) and (x 2 , y 2 ) of the circle x 2 +y 2 = a 2 is 2(a 2 -x 1 x 2 -y 1 y 2 ).

APURV GOEL · Answer

We have to find (x 1 -x 2 ) 2 + (y 1 -y 2 ) 2 = x 1 2 + x 2 2 + y 1 2 + y 2 2 - 2x 1 x 2 - 2y 1 y 2 = 2a 2 - 2x 1 x 2 - 2y 1 y 2 as x 1 2 + y 1 2 = a 2 and x 2 2 + y 2 2 = a 2

APURV GOEL · Answer

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Q3. Prove that the square of the distance between the two points (x 1 , y 1 ) and (x 2 , y 2 ) of the circle x 2 +y 2 = a 2 is 2(a 2 -x 1 x 2 -y 1 y 2 ).

Q3. Prove that the square of the distance between the two points (x₁ , y₁) and (x₂ , y₂) of the circle x² +y² = a² is 2(a²-x₁x₂-y₁y₂).

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Q3. Prove that the square of the distance between the two points (x 1 , y 1 ) and (x 2 , y 2 ) of the circle x 2 +y 2 = a 2 is 2(a 2 -x 1 x 2 -y 1 y 2 ).

Q3. Prove that the square of the distance between the two points (x1 , y1) and (x2 , y2) of the circle x2 +y2 = a2 is 2(a2-x1x2-y1y2).

2 Answers

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Q3. Prove that the square of the distance between the two points (x₁ , y₁) and (x₂ , y₂) of the circle x² +y² = a² is 2(a²-x₁x₂-y₁y₂).