Home
Class 12
MATHS
Find the possible values of p such that ...

Find the possible values of `p` such that the equation `p x^2=(log)_e x` has exactly one solution.

Promotional Banner

Topper's Solved these Questions

  • 3D COORDINATION SYSTEM

    CENGAGE PUBLICATION|Exercise DPP 3.1|11 Videos
  • APPLICATION OF INTEGRALS

    CENGAGE PUBLICATION|Exercise All Questions|143 Videos

Similar Questions

Explore conceptually related problems

Prove that the equation x^(log_(sqrtx^(2x)))=4 has no solution.

Find the values of p so that the equation 2cos^2x-(p+3)cosx+2(p-1)=0 has a real solution.

The values of 'a' for which the equation 4^x-a2^x-a+3=0 has at least one solution.

Find the values of a if equation 1-cosx=(sqrt(3))/2|x|+ a ,x in (0,pi), has exactly one solution.

Find the minimum integral value of k for which the equation e^(x)=kx^(2) has exactly three real distinct solutions.

Find the values of p for which the equations 3x-4y=1 and 9x+py=2 will have only one set of solutions.

Find the number of solutions to the equation x+log_(e)x=0 .

Find the possible values of a such that f(x)=e^(2x)-(a+1)e^x+2x is monotonically increasing for x in Rdot

Without solving, find the values of 'p' for which the equation x^2 + (p -3)x +p = 0 has real and equal roots.

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. The two equal sides of an isosceles triangle with fixed base b are dec...

    Text Solution

    |

  2. A lamp is 50 ft above the ground. A ball is dropped from the same heig...

    Text Solution

    |

  3. Find the possible values of p such that the equation p x^2=(log)e x ha...

    Text Solution

    |

  4. Find the angle between the curves 2y^2=x^3 and y^2=32 x.

    Text Solution

    |

  5. Prove that all points of the curve y^2=4a[x+asinx/a] at which the lang...

    Text Solution

    |

  6. Find the values of a if equation 1-cosx=(sqrt(3))/2|x|+ a ,x in (0,pi...

    Text Solution

    |

  7. Find the angle at which the curve y=K e^(K x) intersects the y-axis.

    Text Solution

    |

  8. Find the angle of intersection of the curves x y=a^2a n dx^2-y^2=2a^2

    Text Solution

    |

  9. Find the angle between the curves x^2-(y^2)/3=a^2a n dC2: x y^3=c

    Text Solution

    |

  10. Let f(x)=2x^3-9x^2+12 x+6. Discuss the global maxima and minima of f(x...

    Text Solution

    |

  11. If the curves a y+x^2=7 and x^3=y cut orthogonally at (1,1) , then fin...

    Text Solution

    |

  12. Discuss the extremum of f(x)=2x+3x^(2/3)

    Text Solution

    |

  13. Find the point on the curve 3x^2-4y^2=72 which is nearest to the line ...

    Text Solution

    |

  14. f(x)=|a x-b|+c|x|AAx in (-oo,oo), where a >0, b >0,c > 0. Find the con...

    Text Solution

    |

  15. Find the shortest distance between the line y=x-2 and the parabola y=x...

    Text Solution

    |

  16. f(x)={cos((pix)/2),x >0, x+a ,xlt=0 Find the values of ...

    Text Solution

    |

  17. If 1^0=alpha radians, then find the approximate value of cos60^0 1^(pr...

    Text Solution

    |

  18. If f(x)={{:(x^2,xlt=0) , (2sinx ,x >0):}' .Investigate the function at...

    Text Solution

    |

  19. If in a triangle ABC, the side c and the angle C remain constant while...

    Text Solution

    |

  20. If the function y=f(x) is represented as x=phi(t)=t^5-5t^3-20 t+7, ...

    Text Solution

    |