Home
Class 11
MATHS
If Y = a + bx, a, b be two real constant...

If Y = a + bx, a, b be two real constants, then prove that Range (y) = |b|, Range (x).

Promotional Banner

Topper's Solved these Questions

  • Model Test Set -3

    UNITED BOOK HOUSE|Exercise Exercise|43 Videos

  • NAVA NALANDA

    UNITED BOOK HOUSE|Exercise EXERCISE|50 Videos

Similar Questions

Explore conceptually related problems

If a and b are two arbitrary constants, then prove that the straight line (a-2b)x+(a+3b)y+3a+4b=0 will pass through a fixed point. Find that point.

Prove that Var (a+bx)= b^(2) Var(x)

If f(a-x)=f(a+x) " and " f(b-x)=f(b+x) for all real x, where a, b (a gt b gt 0) are constants, then prove that f(x) is a periodic function.

If f(a-x)=f(a+x) " and " f(b-x)=f(b+x) for all real x, where a, b (a gt b gt 0) are constants, then prove that f(x) is a periodic function.

If y = a + bx, then show that Me(y) = a + b Me(x).

If ay - bx/c = cx - az/b = bz - cy/a, then prove that x/a = y/b = z/c.

If the simultaneous linear equations in two variables a^(2)x+b^(2)y=1 " and " x/(a^(2)+1)+y/(b^(2)+1)=k , where a ne b and a, b, k are constants have no solution, then prove that a^(2)+b^(2)+1=0 .

If a, b, c are in GP and a, x, b, y are in AP Then prove that, a/x + c/y = 2

If x+z = 2y " and " b^2 = ac , then prove that a^(y-z)*b^(z-x)*c^(x-y) =1 .

If y = (x-a)/b , then prove that Sy = frac(Sx)(|b|)

UNITED BOOK HOUSE-Model Test Set-2-Exercise
  1. If the A.M. and S.D. at n observation x1, x2,………….xn be barx and s res...

    Text Solution

    |

  2. n persons are seated on n chairs at a round table. Find the probabilit...

    Text Solution

    |

  3. State the statistical definition of probability.

    Text Solution

    |

  4. Describe Ratio chart.

    Text Solution

    |

  5. Find the standard deviation of the values a,a+b,a+2b,a+3b,...,a+2nb(b>...

    Text Solution

    |

  6. If the values of a variable be increased by 10, show the effect on ari...

    Text Solution

    |

  7. If Y = a + bx, a, b be two real constants, then prove that Range (y) =...

    Text Solution

    |

  8. Prove that /\ log f(x) = log[1+(/\ f(x))/(f(x) ].

    Text Solution

    |

  9. Find /\^2(e^(ax+b)), taking the interval of differencing as 1.

    Text Solution

    |

  10. Find the relation between a and b so that (2x^4 - 7x^3 + ax + b) may b...

    Text Solution

    |

  11. If x > 0, y >0, z > 0 and x +y + z = 1, prove that (1+x)(1+y)(1+z)ge 8...

    Text Solution

    |

  12. If P(A) = 1/2, P(B) = 1/3, and P(A^c cap B^c) = 5/12, find P(AIB) and...

    Text Solution

    |

  13. What is the probability that a number selected at random from, 1, 2, 3...

    Text Solution

    |

  14. In a throw of two unbiased dice, a boy gets a total of 5. Find the pro...

    Text Solution

    |

  15. Write down the merits and demerits of mass questionnaire method.

    Text Solution

    |

  16. State how different measures of Central tendency are affected when all...

    Text Solution

    |

  17. State how different measures of Central tendency are affected when all...

    Text Solution

    |

  18. Prove that Mean deviation is minimum about its median.

    Text Solution

    |

  19. Two groups of students are arranging an picnic near a lake.The probabi...

    Text Solution

    |

  20. Give the forniula of Fisher’s index number ?

    Text Solution

    |