(B) Two points $(x_1, y_1)$ and $(x_2, y_2)$ are conjugate with respect to the circle $x^2+y^2=r^2$ if $x_1x_2 + y_1y_2 = r^2$. Given the circle $x^2+

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(B) Two points $(x_1, y_1)$ and $(x_2, y_2)$ are conjugate with respect to the circle $x^2+y^2=r^2$ if $x_1x_2 + y_1y_2 = r^2$. Given the circle $x^2+y^2=25$,we have $r^2=25$. Substituting the points $(1, a)$ and $(b, 2)$ into the condition: $(1)(b) + (a)(2) = 25$ $b + 2a = 25$ We need to find the value of $4a + 2b$. Multiplying the equation $b + 2a = 25$ by $2$,we get: $2(b + 2a) = 2(25)$ $2b + 4a = 50$ Therefore,$4a + 2b = 50$.

Class 11 Mathematics 1 Conic Sections: Circle Geometrical problems regarding circle and its properties

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If $(1, a)$ and $(b, 2)$ are conjugate points with respect to the circle $x^2+y^2=25$,then $4a+2b=$

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$25$
B
$50$
C
$100$
D
$150$

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1 Conic Sections: Circle

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Geometrical problems regarding circle and its properties

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If $(1, a)$ and $(b, 2)$ are conjugate points with respect to the circle $x^2+y^2=25$,then $4a+2b=$

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