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ASA Postulate

20. qx+py-(p+...

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20. qx+py-(p+q)=0. ax+by-[ap+bq2÷pq]=0

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Q. The locus of the orthocentre of the triangle formed by the lines

(1 + p) x - p y + p (1 + p) = 0

(1 + q) x - q y + q (1 + q) = 0

y = 0

p \neq q

Q. Prove that the lines

(p - q) x + (q - r) y + (r - p) = 0

(q - r) x + (r - p) y + (p - q) = 0

(r - p) x + (p - q) y + (q - r) = 0

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p x + q y + r = 0, q x + r y + p = 0 a n d r x + p y + q = 0

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p x + q y + r = 0

q x + r y + p = 0

r x + p y + q = 0

are concurrent if

Q. The locus of the orthocenter of the triangle formed by the lines

(1 + p) x - p y + p (1 + p) = 0, (1 + q) x - q y + q (1 + q) = 0

y = 0

p \neq q

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