Home
Class 12
MATHS
If p,q,r are any real number, then...

If p,q,r are any real number, then

Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    CENGAGE PUBLICATION|Exercise All Questions|102 Videos

  • COORDINATE SYSTEM

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|2 Videos

Similar Questions

Explore conceptually related problems

If a polynomial function f(x) satisfies f(f(f(x))=8x+21 , where p and q are real numbers, then p+q is equal to _______

If a polynomial function f(x) satisfies f(f(f(x))=8x+21 , where p and q are real numbers, then p+q is equal to _______

If p ,q ,r ,s are rational numbers and the roots of f(x)=0 are eccentricities of a parabola and a rectangular hyperbola, where f(x)=p x^3+q x^2+r x+s ,then p+q+r+s= a. p b. -p c. 2p d. 0

Let , a , b ,c ,d , p ,q ,r be positive real number such that a ,b , c are in G.P and a^(p)=b^(q)=c^(r) Then-

If R is the set of real numbers and Q is the set of rational numbers, then what is R – Q ?

Prove that px^(q - r) + qx^(r - p) + rx^(p - q) gt p + q + r where p,q,r are distinct number and x gt 0, x =! 1 .

If r,s,t are prime numbers and p,q are the positive integers such that LCM of p,q is r^2t^4s^2 , then find the number of ordered pair (p,q).

If the natural numbers, the integers , the rational numbers and the real numbers are denoted by N,Z,Q and R respectively , then which one of the followings is correct ?

A fair dice is thrown three times. If p, q and r are the numbers obtained on the dice, then find the probability that i^(p) + i^(q) + i^(r) = 1 , where I = sqrt(-1) .

CENGAGE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. Discuss the continuity of the following function : f(x)={1,if x is rat...

    Text Solution

    |

  2. If f(x)=(x+1)/(x-1)a n dg(x)=1/(x-2),t h e n discuss the continuity ...

    Text Solution

    |

  3. If p,q,r are any real number, then

    Text Solution

    |

  4. Discuss the continuity of f(x)=("lim")(n->oo)cos^(2n)xdot

    Text Solution

    |

  5. Find the values of a if f(x)=("lim")(n rarr oo)(a x^(2n)+2)/(x^(2n)+a...

    Text Solution

    |

  6. If f(x)={(ln x).sgn({x-1/2});1 < x le 3 and {x^2};3 < x le 3.5. Find t...

    Text Solution

    |

  7. Discuss the continuity of f(x)=(lim)(n->oo)(x^(2n)-1)/(x^(2n)+1)

    Text Solution

    |

  8. If f(x)=sgn(2sinx+a) is continuous for all x , then find the possible ...

    Text Solution

    |

  9. Discuss the continuity of f(x)=|x|sgn(x^3-x)

    Text Solution

    |

  10. Discuss the continuity of f(x)=sgn(2cosx-1)

    Text Solution

    |

  11. Discuss the continuity of f(x)=sgn(x^2-2x+3)

    Text Solution

    |

  12. Discuss the continuity of f(x)={(x{x}+1 ,, 0lt=x<1),(2-{x} ,, 1lt=x<2)...

    Text Solution

    |

  13. Discuss the continuity of f(x)=sgn(x^3-x)

    Text Solution

    |

  14. Show that the function f(x)=(x-a)^2(x-b)^2+x takes the value (a+b)/2 f...

    Text Solution

    |

  15. Prove that f(x)=(x^3)/4-sinpix+3 takes the value of 7/3 for x in [-2,2...

    Text Solution

    |

  16. Suppose f is a continuous map from R to R and f(f(a))=a for some adot ...

    Text Solution

    |

  17. Let f:[0,1] rarr [0,1] be a continuous function. Then prove that f(x)...

    Text Solution

    |

  18. Discuss the differentiability of f(x)={( x sin(ln x^2),x!=0),( 0,x=0):...

    Text Solution

    |

  19. Discuss the differentiability of f(x)={((sinx^2)/x ,x!=0), (0,x=0):} a...

    Text Solution

    |

  20. If f is an even function such that lim(hrarr0)(f(h)-f(0))/h has some f...

    Text Solution

    |