cartesian coordinates

Question

If the vertices of a triangle are (am12, 2am1), ??(am22, 2am2) (am32, 2am3), then its area is (a) a(m2-m3)(m3-m1)(m1-m2) (b) (m2-m3)(m3-m1)(m1-m2) (c) a2(m2-m3)(m3-m1)(m1-m2) (d) a(m2+m3)(m3+m1)(m1+m2) Explain pls.

Aman Bansal · Accepted Answer

Dear Aditi,

If the coordinates of the vertices are (x1,y1), (x2,y2), and (x3,y3), then the area is given by the formula

A = (1/2) det[(x1,y1,1), (x2,y2,1), (x3,y3,1)].

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Analytical Geometry> cartesian coordinates...

If the vertices of a triangle are (am₁², 2am₁), ??(am₂², 2am₂) (am₃², 2am₃), then its area is

(a) a(m₂-m₃)(m₃-m₁)(m₁-m2)

(b) (m₂-m₃)(m₃-m₁)(m₁-m₂)

(c) a²(m₂-m₃)(m₃-m₁)(m₁-m2)

(d) a(m₂+m₃)(m₃+m₁)(m₁+m2)

Explain pls.

Aditi Bhatnagar , 14 Years ago

Aman Bansal

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Analytical Geometry> cartesian coordinates...

If the vertices of a triangle are (am12, 2am1), ??(am22, 2am2) (am32, 2am3), then its area is (a) a(m2-m3)(m3-m1)(m1-m2) (b) (m2-m3)(m3-m1)(m1-m2) (c) a2(m2-m3)(m3-m1)(m1-m2) (d) a(m2+m3)(m3+m1)(m1+m2) Explain pls.

Aditi Bhatnagar , 14 Years ago

Aman Bansal

LIVE ONLINE CLASSES

Other Related Questions on analytical geometry

The locus of the point represented by x= t^2 +t+1 and y=t^-t+1 is

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show that the equation (ab-h²)(ax²+2hxy+by²+2gx+2fy)+af²+bg²-2fgh=0 represent a pair of straight lines and that these straight lines form a rhombus with the lines ax²+2hxy+by²=0

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If the vertices of a triangle are (am₁², 2am₁), ??(am₂², 2am₂) (am₃², 2am₃), then its area is

(a) a(m₂-m₃)(m₃-m₁)(m₁-m2)

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(c) a²(m₂-m₃)(m₃-m₁)(m₁-m2)

(d) a(m₂+m₃)(m₃+m₁)(m₁+m2)

Explain pls.