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$-$ $22$ $-2$ $21\right)$ The joint equation of pair of lines passing through the origin and one of which is parallel and other is perpendicular to $5x+3y=7$ $i6$ a) $1\right)$ $x^{2}-xy-y^{2}=0$ $②$ $3x^{2}-16xy+3y^{2}=0$ c) $\right)$ $15x^{2}-16xy-15y^{2}=0$ $2$ $15x^{2}+16xy+15y^{2}=0$

$21\right)$ The joint equation of pair of lines passing through the origin and one of whích is parallel and other is perpendicular to $5x+3y=7i5$ a) $\right)$ $x^{2}-xy-y^{2}=0$ b) $3x^{2}-16xy+3y^{2}=0$ c) $\right)$ $15x^{2}-16xy-15y^{2}=0$ d) $15x^{2}+16xy+15y^{2}=0$ $22$ Th

Using the \emph{removal of first derivative} method, the differential equation \( \frac{d^{2}y} $\left(d\times n$ $\left(2\right)\right)+P|ffac\left(dy\right)\left(dx\right)+Qy=F$ $dx\right)+Qy=RN\right)$ is transformed as \). For, the differential equation \frac{d^{2}y} $\left(d^{n}\left(2\right)y\right)$ $dx$ $\left(2\right)+2x$ $\left(0C\left(dy\right)\left(dx\right)+\left(x$ $2+1\right)y=\times n3+3x\right)$ the value of $\left(11\right)$

$∠$ $F$ From the sum $ot$ $x^{A}\left(2\right)-8$ with $3x-12$ subtract the sum $ofx-9$ with $3x-x^{A}\left(2\right)$ Multinlication takes place $\left(2\times A$ $\left(2\right)+5x+21\right)\left(x-$ $5\right)=$ #Please provide solution by using math formula.

$y$ Find the $A \,_{.}C_{.} F,$ of the terms and factorise. $05r-15y^{2}$ $\left(10\right)$ $16m-4m^{2}$ $\left(00\right)$ $8\times y+8\times $ $\left(\right)20x^{3}-40$ $20x^{3}-40x^{2}+80\times $ $\left(y\right)$ $\times y-3\times 2y-6\times y$ $\left(a\right)$ $8\times y-16xy^{2}+24xy$

$16x^{2}+4y^{2}+92^{2}-16xy+12yz-24zx$ Factorise..!