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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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Jan 7, 2013
by
thanvigandhi_1
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votes
0
answers
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.
asked
Jan 9, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-c
q24
math
0
votes
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 \( \bigg[ a^{\large\frac{2}{3}} + b^{\large\frac{2}{3}} \bigg]^{\large\frac{3}{2}} \).
asked
Jan 22, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-c
q24
math
0
votes
0
answers
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.
asked
Jan 30, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-c
q24
math
0
votes
1
answer
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 \(\large \frac{x-1}{2}=\frac{y-3}{4}=\frac{z-5}{5}. \)
asked
Feb 5, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-c
q24
medium
math
0
votes
0
answers
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.
asked
Feb 2, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-c
q24
math
0
votes
0
answers
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 \( (a^{\large\frac{2}{3}}+b^{\large\frac{2}{3}})^{\large\frac{3}{2}} \)
asked
Jan 26, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-c
q24
math
0
votes
1
answer
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.
asked
Feb 8, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-c
q24
easy
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