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CBSE Class 12-science Answered

But in all ncert questions i have read so far it has been done like this:if a line ax+by>0 passing through origion then shade below line and vice versa
Asked by upmaniousagarika | 26 May, 2016, 11:19: PM
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begin mathsize 12px style I n space N C E R T space b o o k space i t space h a s space n o t space b e e n space d o n e space t h e space w a y space y o u space h a v e space m e n t i o n e d. L e t space u s space t a k e space a n space e x a m p l e space a n d space s e e space f o r space o u r s e l v e s comma space w h i c h space r e g i o n space t o space s h a d e. S u p p o s e comma space w e space h a v e space t o space f i n d space t h e space r e g i o n space x plus y greater than 0 S o space w e space d r a w space t h e space l i n e space x plus y equals 0 comma space a s space s h o w n space i n space t h e space f i g u r e. space end style
N o w comma space l o o k space a t space t w o space p o i n t s space i n space t h i s space X Y space p l a n e. left parenthesis negative 2 comma space 0 right parenthesis space a n d space left parenthesis 0 comma space 4 right parenthesis left parenthesis negative 2 comma space 0 right parenthesis space i s space b e l o w space t h e space s t r a i g h t space l i n e comma w h e r e a s comma space left parenthesis 0 comma space 4 right parenthesis space i s space a b o v e space t h e space s t r a i g h t space l i n e. F o r space left parenthesis negative 2 comma space 0 right parenthesis comma space x plus y equals negative 2 plus 0 equals negative 2 comma space w h i c h space i s space n e g a t i v e. F o r space left parenthesis 0 comma space 4 right parenthesis comma space x plus y equals 0 plus 4 equals 4 comma space w h i c h space i s space p o s i t i v e. S o comma space left parenthesis negative 2 comma space 0 right parenthesis comma space w h i c h space i s space b e l o w space t h e space s t r a i g h t space l i n e comma space i s space i n space t h e space r e g i o n f o r space w h i c h space x plus y less than 0 S i m i l a r l y comma space left parenthesis 0 comma space 4 right parenthesis comma space w h i c h space i s space a b o v e space t h e space s t r a i g h t space l i n e comma space i s space i n space t h e space r e g i o n f o r space w h i c h space x plus y greater than 0 S o space t h e space r e g i o n space x plus y greater than 0 space i s space a s space s h o w n space b e l o w.
 
In general, given any linear equation ax+by+c > or < 0,
first write the inequality in the form y > or < other terms, by taking all other terms to right hand side.
Finally, if you get an inequality of form y > (some expression), then shade the region above the line.
If you get an inequality of the form y < (some expression), then shade the region below the line
Answered by satyajit samal | 29 May, 2016, 05:30: PM

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CBSE 12-science - Maths
using graph, maximize z=4x+3y subject to the constraints x+y=9, 9x+2y=18
Asked by gargisha381 | 26 May, 2022, 12:24: PM
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CBSE 12-science - Maths
in ncert chapter 12 exercise 1 question no. 2 why we cant take points of x+2y=8 ... -24 should be the minimum value which comes from the point (8,0)..
Asked by ABHILASHA | 20 Apr, 2021, 12:07: PM
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CBSE 12-science - Maths
ankit   is located at (3,3) he asks ajay to find his location  
Asked by Sunita | 27 Oct, 2020, 12:07: PM
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CBSE 12-science - Maths
A company manufactures two articles A and B. There are two departments I and II through which these articles are processed. The maximum capacity of department I is 60 hours a week and that of department II is 48 hours a week. The production of each article A requires 4 hours by department I and 2 hours by department II and that of each unit of B requires 2 hours in department I and 4 hours in department II. If the profit of Rs 60 for each unit of A Rs 80 for each unit of B find the number of units of A and B to be produced per week to have maximum profit.
Asked by Topperlearning User | 01 Sep, 2014, 01:19: PM
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CBSE 12-science - Maths
  A diet is to contain atleast 10 units of vitamin A, 12 units of vitamin B and 8 units of calcium. Two foods f1 and f2 are available. A unit of food f1 contains 1 unit of vitamin A, 2 units of vitamin B and 3 units of calcium and a unit of food f2 contains 2 units of vitamin A, 2 units of vitamin B and 1 unit of calcium. If one unit of food f1 costs Rs 16 and one unit of food f2 costs Rs 20, find the least cost of the mixture which will produce the desired diet.
Asked by Topperlearning User | 29 Jul, 2016, 10:09: PM
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CBSE 12-science - Maths
One kind of cake requires 200 g of flour and 25 g of fat and another kind of cake requires 100 g of flour and 50 g of fat find the maximum number of cakes which can be made from 5 kg of flour and 1 kg of fat assuming that there is no shortage of other ingredients, used in making cakes.
Asked by Topperlearning User | 01 Sep, 2014, 02:00: PM
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CBSE 12-science - Maths
A dealer deals in two items decorative plant and lamp shade. He has 10000 to invest and a space to store atmost 60 pieces. A decorative plant costs him Rs 500 and lamp shade costs him Rs 100. He can sell a decorative plant at Rs 550 and a lamp shade at Rs 115. Assuming he can sell all the items, find his maximum profit.
Asked by Topperlearning User | 01 Sep, 2014, 02:43: PM
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CBSE 12-science - Maths
A manufacturer makes Rs 600 profit on stereo system and Rs 400 profit on small tape recorder. A stereo requires 1 hour on machine A, 1 hour on machine B and 4 hours on machine C. A tape recorder requires 2 hours on A, 1 hour on B and 1 hour on C. In a given day, machines A, B and C can working a maximum of 16, 9 and 24 hours respectively. How many stereo systems and tape recorders should be produced per day to maximize the profit.
Asked by Topperlearning User | 01 Sep, 2014, 02:46: PM
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CBSE 12-science - Maths
A calculator company produces a scientific calculator and a standard calculator. Long-term projections indicate an expected demand of at least 100 scientific and 80 standard calculators each day. Because of limitations on production capacity, no more than 200 scientific and 170 standard calculators can be made daily. To satisfy a shipping contract, a total of at least 200 calculators much be shipped each day. If each scientific calculator sold results in a Rs 2 loss, but each standard calculator produces a Rs 5 profit, how many of each type should be made daily to maximize net profits?
Asked by Topperlearning User | 29 Jul, 2016, 09:56: PM
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CBSE 12-science - Maths
In order to ensure optimal health (and thus accurate test results), a lab technician needs to the dogs a daily diet containing a minimum of 24 grams (g) of fat, 36 g of carbohydrates, and 4 g of protein. But the dog should be fed no more than five kg of food a day. Rather than to order dog-food that is custom-blended, it is cheaper to order Food X and Food Y, and blend them for an optimal mix. Food X contains 8 g of fat, 12 g of carbohydrates, and 2 g of protein per kg, and costs Rs0.20 per kg. Food Y contains 12 g of fat, 12 g of carbohydrates, and 1 g of protein per kg, at a cost of Rs0.30 per kg. What is the optimal blend?
Asked by Topperlearning User | 18 Sep, 2014, 02:12: PM
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