Question bank/JEE Main/Mathematics

AB is any chord of the circle $x^{2} + y^{2} - 6x - 8y - 11 = 0$
which subtends an angle$\frac{\pi}{2}$at $(1,2)$. If locus of midpoint
of AB is a circle $x^{2} + y^{2} - 2ax - 2by - c = 0$ the value of
$(a + 2b + 3c)$ is
o`r $x^{2} + y^{2} - 6x - 8y - 11 = 0$ sbZ thok AB tks fcUnq
$(1,\ 2)$ij$\frac{\pi}{2}$dks.k cukrh AB fcUnq dk
fcUnqiFk,d o`r $x^{2} + y^{2} - 2ax - 2by - c = 0$gS rc
$(a + 2b + 3c)$dk eku

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$PQ = PA$
$(h - 1)^{2} + (k - 2)^{2} = 36 - (h - 3)^{2} - (k - 4)^{2}$
$x^{2} + y^{2} - 4x - 6y - 3 = 0$

Source: Grass-G / M-26 Mathematics Paper 1 15 Jan.docx