Home
Class 12
MATHS
If lim(xto3)(px^(2)-q)/(x-3)=6, then fin...

If `lim_(xto3)(px^(2)-q)/(x-3)=6`, then find the values of p and q.

Text Solution

Verified by Experts

The correct Answer is:
`:.q=9p=9xx1=9:.p=1andq=9`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise HS (XI) AND WBJEE 2019 (HS (XI) 2019) (GROUP -D)|8 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise WBJEE 2019|1 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise HS (XI) AND WBJEE 2019 (HS (XI) 2019) (GROUP -B)|14 Videos

  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos

  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

If lim_(xto0) ((4x-1)^(1/3)+a+bx)/(x)=1/3 then find the values of a and b.

If L=lim_(xto0) (e^(-x^(2)//2)-cosx)/(x^(3)sinx) , then find the value of 1//(3L) is ________.

If lim_(xto1) (1+ax+bx^(2))^((c)/((x-1)))=e^(3) , then find the value of bc is _________.

If the sum of square of roots of the equation x^2+(p+i q)x+3i=0 is 8, then find the value of p and q , where p and q are real.

If the straight line y= 4x -5 touches the curve y^(2) = px^(3) + q at (2, 3), then the values of p and q are-

If the equation p x^2+(2-q)x y+3y^2-6q x+30 y+6q=0 represents a circle, then find the values of p and q .

The polynomial (x^(3)+px^(2)-x+q) is divisible by (x^(2) - 1) and when it is divided by (x - 2), the remainder is 15. Find the values of p and q.

If p:q = 5:7 and p-q = -4 , then find the value of 3p+4q.

If mapping f= {(1,-6), (2,-1) , (3,4) , (4,9)} is described by the rule f(x) =px+q, then the values of p and q are-

If lim_(xto0)(sin2x+asinx)/(x^(3)) is finite, find a and the limit.

CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-HS (XI) AND WBJEE 2019 (HS (XI) 2019) (GROUP -C)
  1. For any three sets A, B and C prove that A-(BcupC)=(A-B)cap(A-C)

    Text Solution

    |

  2. Show that the value of sin18^(@)" is "(sqrt5-1)/(4)

    Text Solution

    |

  3. For a triangle, if (1)/(a+c)+(1)/(b+c)=(3)/(a+b+c), then show that ang...

    Text Solution

    |

  4. Using the principle of mathematical induction, prove that 1^(2)+3^(2)+...

    Text Solution

    |

  5. Show that if nge1 is an integer, then 9^(n+1)-8n-9 is divisible by 64...

    Text Solution

    |

  6. How many different numbers of 5 significant digits can be formed with ...

    Text Solution

    |

  7. Solve :z+|z|=1+2i, where z=x+iy,x,yinRR.

    Text Solution

    |

  8. There numbers are in G.P. whose product and sum are respectively 216 a...

    Text Solution

    |

  9. Find the distance from the point P(4,1) to the line 4x-y=0 measured al...

    Text Solution

    |

  10. Find the equations of the circle which touches y-aixs at (0,5) and who...

    Text Solution

    |

  11. Find the locus of the foot of the perpendicular drawn from the origin ...

    Text Solution

    |

  12. If lim(xto3)(px^(2)-q)/(x-3)=6, then find the values of p and q.

    Text Solution

    |

  13. If y=sqrtx+(1)/(2sqrtx)and2x(dy)/(dx)+y=f(x), then find f(x).

    Text Solution

    |

  14. Prove that for any two statements p and q the statements ~(pharr~q)and...

    Text Solution

    |

  15. Using contrapositive method, prove that -''If x is an interger and x^(...

    Text Solution

    |

  16. A number is selected at random among the first 50 positvie integers. F...

    Text Solution

    |

  17. Calculate the value of : (i)^(61)

    Text Solution

    |