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Find the equations of the tangent and normal to the curve \( 16x^2+9y^2 = 144\) at \( (x_1, y_1)\) where \( x_1=2\: and \: y_1 > 0.\) Also, find the points of intersection where both tangent and normal cut the \( x\) - axis.
cbse
class12
modelpaper
2012
sec-c
q24
math
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asked
Jan 9, 2013
by
thanvigandhi_1
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Find the equation of the plane passing through the line of intersection of the planes $ 2x+y-z=3 \: and \: 5x-3y+4z+9=0$ and parallel to the line \(\large \frac{x-1}{2}=\frac{y-3}{4}=\frac{z-5}{5}. \)
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Using matrix solve the following system of linear equations : $ 2x+y+z=3 ; 3x-y+z=0 ;x-2y+3z = -6$
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A wire of length 36 cm is cut into two pieces. One of the pieces is turned in the form of a square and the other in the form of an equilateral triangle. Find the length of each piece so that the sum of the areas of the two be minimum.
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Feb 2, 2013
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