Home
Class 11
MATHS
The Fahrenheit temperature F and absolu...

The Fahrenheit temperature F and absolute temperature K satisfy a linear equation. Given that `K = 273`when `F = 32`and that `K = 373`when`F = 212`. Express K in terms of F and find the value of F, when `K = 0`.

Text Solution

Verified by Experts

Assuming F along X-axis and K along Y-axis, we have two points (32, 273) and (212, 373) in xy-plane or FK-plane.
-As F and K satisfy a linear equation. The equation of the line passing through (32, 273) and (212, 373) is,
` K-273=[(373-273) div (212-32)] times (F-32)`
Solving the above equation we get,
...
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    NCERT|Exercise EXERCISE 10.3|18 Videos

  • STRAIGHT LINES

    NCERT|Exercise MISCELLANEOUS EXERCISE|24 Videos

  • STRAIGHT LINES

    NCERT|Exercise EXERCISE 10.5|2 Videos

  • STATISTICS

    NCERT|Exercise EXERCISE 15.2|10 Videos

  • TRIGONOMETRIC FUNCTIONS

    NCERT|Exercise EXERCISE 3.1|7 Videos

Similar Questions

Explore conceptually related problems

The fahrenheit 'F' and Kelvin 'K' temperatures show a linear relation. If at F=32 , K=273 and at F=212 , K=373 , then find K in terms of F . Also find the value of F when K=0 .

The dimensions of k in equation F = kx are

The variation of K and k_(f)/K_(b) with temperature shows the following effects:

Find the value of k for which f(x)={kx+1 when x pi

The temperature of a body on Kelvin scale is found to be x K . When it is measured by Fahrenheit thermometer, it is found to be x^(@)F , then the value of x is

If the temperature of a liquid can be measured in kelvin units as x^(@)K or in fahrenheit units as y^(@)F , the relation between the two systems of measurement of temperature is given by the linear equation. y=(9)/(5)(x- 273)+32 (i) find the temperature of the liquid in fahrenheit, if the temperature of the liquid is 313 K. (ii) If the temperature in kelvin.

Let y =f (x) satisfies the differential equation xy (1+y) dx =dy . If f (0)=1 and f (2) =(e ^(2))/(k-e ^(2)), then find the value of k.

Let x=(1)/(3) or x=-15 satisfies the equation,log_(g(kx^(2)+wx+f))=2. If k,w and f are relatively prim positive integers then find the value of k+w+f.

If f(x+k)+f(x)=0 AA x in R , k in R and the period of f(x) is mk ,then m=

NCERT-STRAIGHT LINES-SOLVED EXAMPLES
  1. Find the equation of the line, which makes intercepts 3 and 2 on the x...

    Text Solution

    |

  2. Equation of a line is 3x-4y+10=0. Find its (i) slope, (ii) x and yin...

    Text Solution

    |

  3. The Fahrenheit temperature F and absolute temperature K satisfy a lin...

    Text Solution

    |

  4. Find the angle between the lines y-sqrt(3)x-5=0and sqrt(3)y-x+6=0.

    Text Solution

    |

  5. Reduce the equation sqrt(3)x+y-8=0 into normal form. Find the values ...

    Text Solution

    |

  6. Find the equation of a line perpendicular to the line x-2y+3=0and pas...

    Text Solution

    |

  7. Show that two lines a1x+b1y+c1=0and a2x+b2y+c2=0, where b1,b2!=0are : ...

    Text Solution

    |

  8. If the lines 2a + y 3 = 0, 5x + k y 3 = 0and 3x y 2 = 0are concurr...

    Text Solution

    |

  9. Find the distance of the line 4x y = 0 from the point P(4, 1) measur...

    Text Solution

    |

  10. Assuming that straight lines work as the plane mirror for a point, fi...

    Text Solution

    |

  11. Show that the area of the triangle formed by the lines y=m1x+c1,y=m2x...

    Text Solution

    |

  12. A line is such that its segment between the lines 5x-y + 4 = 0and 3x ...

    Text Solution

    |

  13. Show that the path of a moving point such that its distances from two...

    Text Solution

    |

  14. Write the equation of the line through the points (1, 1)and (3, 5).

    Text Solution

    |

  15. Write the equation of the line for which tantheta=1/2,where thetais th...

    Text Solution

    |

  16. Find the equations of the lines parallel to axes and passing through(...

    Text Solution

    |

  17. Find the equation of the line through ( 2, 3)with slope 4.

    Text Solution

    |

  18. Three points P(h ,k),Q(x1,y1)and R(x2,y2)lie on a line. Show that (h-...

    Text Solution

    |

  19. In Figure, time and distance graph of a linear motion is given. Two p...

    Text Solution

    |

  20. If the angle between two lines is pi/4and slope of one of the lines ...

    Text Solution

    |