Home
Class 12
MATHS
There are exactly two distinct linear fu...

There are exactly two distinct linear functions, ______ and ______, which map [-1,1] onto [0,2].

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|3 Videos
  • SCALER TRIPLE PRODUCTS

    CENGAGE PUBLICATION|Exercise DPP 2.3|11 Videos

Similar Questions

Explore conceptually related problems

If fa n dg are two distinct linear functions defined on R such that they map {-1,1] onto [0,2] and h : R-{-1,0,1}vecR defined by h(x)=(f(x))/(g(x)), then show that |h(h(x))+h(h(1/x))|> 2.

If there are only two linear function f and g which map [1.2] on [4,6] and in a Delta ABC , c,=f(1)+g(1) and a is the maximum value of r^2, where r is the distance of a variable point on the curve x^2+y^2-xy=10 from the origin, then sinA:sinC is

Let A be a set of n distinct elements. Then the total number of distinct function from AtoA is ______ and out of these, _____ are onto functions.

For the equation |[1,x,x^2],[x^2, 1,x],[x,x^2, 1]|=0, a) There are exactly two distinct roots b) There is one pair of equation real roots. c) There are three pairs of equal roots d) Modulus of each root is 2

If f is a linear function and f(2)=4,f(-1)=3 then find f(x)

Write three quadratic equations, one having two distinct real solutions, one having no real solution and one having exactly one real solution.

If set of values a for which f(x)=a x^2-(3+2a)x+6, a!=0 is positive for exactly three distinct negative integral values of x is (c , d] , then the value of (c^2 + 4|d|) is equal to ________.

The number of distinct real root of x^3-3x+1=0 in (1,2) is

Let l_1a n dl_2 be the two skew lines. If P ,Q are two distinct points on l_1n dR , S are two distinct points on l_2, then prove that P R cannot be parallel to Q Sdot

Let f(x)={2/(1+x^2),xi sr a t ion a l b ,xi sr a t ion a l has exactly two points of continuity then the value of b are (0,3] b. [0,1] c. (0,2] d. varphi

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Solve the following 1lt=|x-2|lt=3

    Text Solution

    |

  2. if f(x)={x^3+x^2, for 0<=x<=2 x + 2,for2<x<=4 ,t h e n find the even a...

    Text Solution

    |

  3. There are exactly two distinct linear functions, and , which map [...

    Text Solution

    |

  4. Solve the following 0<|x-3|lt=5

    Text Solution

    |

  5. If f is even function defined on the interval (-5, 5), then real value...

    Text Solution

    |

  6. Find the period of following function f(x)=e^(ln(sinx))+tan^3x-"cosec...

    Text Solution

    |

  7. Solve the following |(2x-1)/(x-1)|gt2

    Text Solution

    |

  8. Find the fundamental period of f(x)=cosxcos2xcos3xdot

    Text Solution

    |

  9. If f(x)=sin^2x+sin^2(x+pi/3)+cos x.cos(x+pi/3) and g(5/4)=1, then

    Text Solution

    |

  10. Solve the following |(x-3)/(x+1)|lt=1

    Text Solution

    |

  11. The domain of the function f(x)=sin^(-1)((8(3)^(x-2))/(1-3^(2(x-1)))) ...

    Text Solution

    |

  12. Solve the system of equations in x,y and z satisfying the following eq...

    Text Solution

    |

  13. If f(x) = (p - x^n)^(1/n), p gt 0 and n is positive integer, then the ...

    Text Solution

    |

  14. Find the range of f(x)=(x-[x])/(1-[x]+x '),w h e r e[] represents the ...

    Text Solution

    |

  15. the function f(x)=(x^2+4x+30)/(x^2-8x+18) is not one-to-one.

    Text Solution

    |

  16. Solve 2[x]=x+{x},where [.] and {} denote the greatest integer function...

    Text Solution

    |

  17. If f1(x) and f2(x) are defined on domains D1 and D2,respectively, the...

    Text Solution

    |

  18. In the questions, [x]a n d{x} represent the greatest integer function ...

    Text Solution

    |

  19. Let R be the set of real numbers. If f:R->R is a function defined by f...

    Text Solution

    |

  20. If f(x) = [x] , 0<= {x} < 0.5 and f(x) = [x]+1 , 0.5<{x}<1 then prove...

    Text Solution

    |