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Find the equation of the line through the point ( 3, 4 ) which cuts from the first quadrant a triangle of minimum area.
cbse
class12
modelpaper
2012
sec-c
q24
math
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asked
Jan 7, 2013
by
thanvigandhi_1
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Related questions
Find the equation of the line through the point P(3, 4) which cuts from the first quadrant a triangle of the minimum area. Also find the area of the triangle.
cbse
class12
modelpaper
2012
sec-c
q24
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Jan 9, 2013
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thanvigandhi_1
0
answers
A point on the hypotenuse of a triangle is at distance a and b from the sides of the triangle. Show that the minimum length of hypotenuse is \( \bigg[ a^{\large\frac{2}{3}} + b^{\large\frac{2}{3}} \bigg]^{\large\frac{3}{2}} \).
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2012
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Find the equation of the plane passing through the intersection of planes \( 4x-y+z=10\: and \: x+y-z=4\) and parallel to the line with direction ratios < 2, 1, 1>. Find also the perpendicular distance of (1, 1, 1) from the plane.
cbse
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modelpaper
2012
sec-c
q24
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Jan 30, 2013
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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 \(\large \frac{x-1}{2}=\frac{y-3}{4}=\frac{z-5}{5}. \)
cbse
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2012
sec-c
q24
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Feb 5, 2013
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1
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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.
cbse
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2012
sec-c
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Feb 2, 2013
by
thanvigandhi_1
1
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A point on the hypotenuse of a right-angled triangle is at distances a and b from the sides. Show that length of the hypotenuse is at least \( (a^{\large\frac{2}{3}}+b^{\large\frac{2}{3}})^{\large\frac{3}{2}} \)
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2012
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Jan 26, 2013
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Show that the cylinder of given volume open at the top has minimum total surface area if its height is equal to radius of the base.
cbse
class12
modelpaper
2012
sec-c
q24
easy
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Feb 8, 2013
by
thanvigandhi_1
1
answer
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