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Prove that if P(x,y) be any point on t...

Prove that if `P(x,y)` be any point on the line segment joining `P_(1)(x_(1),y_(1)) and P_(2) (x_(2),y_(2))` then `x=x_(1)+k(x_(2)-x_(1)) and y=y_(1)+k(y_(2)-y_(1))`, where `bar (P_(1)P), bar (P_(1)P_(2))=k`
What conclusion can you draw about the position of P if
`k=0`

Text Solution

Verified by Experts

The correct Answer is:
P coincides with `P_(1)`
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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-COORDINATE GEOMETRY (TWO DIMENSIONAL COORDINATE GEOMETRY)
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  7. Show that the points A(a,b), B(a+alpha+ b,+ beta), C(a+alpha+ p, b+bet...

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

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  16. The straight lines y=x=2 and y=6x+3 are parallel to two sides of the r...

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