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Previous Year Question (PYQs)



Among the statements: (S1): If $A(5,-1)$ and $B(-2,3)$ are two vertices of a triangle whose orthocentre is $(0,0)$, then its third vertex is $(-4,-7)$ and (S2): If positive numbers $2a,b,c$ are three consecutive terms of an A.P., then the lines $ax+by+c=0$ are concurrent at $(2,-2)$,





Solution

(S1): Using orthocentre property → altitudes perpendicular → solving gives third vertex $(-4,-7)$ ✔️. (S2): From A.P., $b=2a+d, c=2a+2d$ → substituting point $(2,-2)$ does not satisfy all → ❌


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