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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
math
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asked
Jan 9, 2013
by
thanvigandhi_1
retagged
Jan 9, 2013
by
thanvigandhi_1
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0
answers
Find the equation of the line through the point ( 3, 4 ) which cuts from the first quadrant a triangle of minimum area.
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Jan 7, 2013
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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.
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Jan 30, 2013
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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
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cbse
class12
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A diet is to contain at least 80 units of vitamin A and 100 units of minerals. Two foods \( F_1 \: and F_2\) are available . Food \( F_1 \) costs Rs. 4 perunit and \( F_2\) costs Rs. 6 per unit. One unit of food \( F_1 \) contains 3 units of vitamin A and 4 units of minerals. One unit of food \( F_2 \) contains 6 units of vitamin A and 3 units of minerals. Formulate this as a linear programming problem and find graphically the minimum cost for diet that consists of mixture of these two foods and also meets the minimal nutritional requirements.
asked
Feb 15, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
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sec-c
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Find the equation of the plane passing through the line intersection of the plane \( x-2y+z=1\) and \( 2x+y+z=8\) and parallel to the line with direction ratios 1,2,1. Also, find the perpendicular distance of the point P(3,1,2) from this plane.
asked
Feb 2, 2013
by
thanvigandhi_1
cbse
class12
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sec-c
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0
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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
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Find the equation of the plane passing through the point P(1,1,1) and containing the line \( \overrightarrow r = (-3\hat i + \hat j + 5\hat k)+ \lambda (3\hat i - \hat j - 5\hat k).\). Also show that the plane contains the line \( \overrightarrow r = (-\hat i + 2\hat j + 5\hat k)+ H (\hat i - 2\hat j - 5\hat k).\)
asked
Feb 4, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-c
q27
math
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