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Show that the points A(a,b), B(a+alpha+ ...

Show that the points `A(a,b), B(a+alpha+ b,+ beta), C(a+alpha+ p, b+beta+ q) and D(a+p,b+q)` when joined in order, form a parallelogram. Find the cooditions for which the paralleogram is a(i)rectangle (ii) rhombus.

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Verified by Experts

The correct Answer is:
`(i)a alpha+ beta q=0`
(ii) `alpha^(2)+ beta^(2)=p^(2)+q^(2)`
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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-COORDINATE GEOMETRY (TWO DIMENSIONAL COORDINATE GEOMETRY)
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  2. (3,2) and (-3,2) are the vertices of an equilateral triangle which con...

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  3. Show that the points A(a,b), B(a+alpha+ b,+ beta), C(a+alpha+ p, b+bet...

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  9. Find the equation to the locus represented by the parametric equation...

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  10. If t is a variable parameter, then the equation to the locus defined b...

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  11. The four point A(a,0), B(b,0) ,C(c,0) and D(d,0) are such that a and b...

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  13. The eqution of the side BC,CA and AB of the triangle ABC are u(1)=a(1)...

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  18. A is a point on the circle x^(2)+y^(2)=36. Find the locus of the point...

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