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Unit 04: Introduction to Analytic Geometry
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16)// * Find angle between the line represented by $2x^2+3xy-5y^2=0$. --- // BSIC Gujranwala (2016)... )// * Find the equation of the line represented by $20x^2+17xy-24y^2=0$ --- // BSIC Gujranwala (2015... dpoints of its sides. Show that the figure formed by joining the mid-points consecutively is a paralle... rrent and the third-line bisects the angle formed by the first two lines. --- // FBSIC (2017)// * Sh
Unit 02: Differentiation
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Differentiate $\cos \sqrt{x}$ with respect to $x$ by ab-initio method. --- // BSIC Gujranwala (2015)//... indi(2017)// * If $f(x)=x^2$, then find $f'(x)$ by defination. --- // BSIC Sargodha(2016)// * Diff... then find $y_1$. --- // BSIC Sargodha(2016)// * By maclaurin`s series, prove that $e^x=1+x+\frac{x^2
Unit 01: Functions and Limits
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the real valued functions $f$ and $g$ be defined by $f(x)=2x+1$ and $g(x)=x^2-1$. Obtain the exprssio... the real valued functions $f$ and $g$ be defined by $f(x)=2x+1$ and $g(x)=x^2-1$. Obtain the expressi
Unit 05: Linear Inequalities and Linear Programming
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solution set of linear inequality $2x+3y\leq 12$ by shading. --- // BSIC Gujranwala (2015)// * Maxi... olution set of the linear inequality $x+y \geq 5$ by shading.--- // BSIC Rawalpindi (2017)// * Minim
Unit 06: Conic section
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* Find the centre and radius of the circle given by the equation $4x^2+4y^2-8x+12y-25=0$ --- // BSI... )// * Find the equation of the line represented by $20x^2+17xy-24y^2=0$ --- // BSIC Sargodha(2016)//
Unit 07: Vectors
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r.--- // BSIC Rawalpandi(2017 )// * Prove that, by vector method $\cos (\alpha - \beta)=\cos \alpha ... Find the volume of the parallelepiped determined by $\underline u=\underline i+2\underline j-\underli