Home
Class 12
MATHS
Number of positive integral value(s) of ...

Number of positive integral value(s) of 'a' for which the curve `y=a^(x)` intersects the line `y=x` is

A

0

B

1

C

2

D

more than 2

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos
  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|7 Videos
  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise For Session 6|4 Videos
  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos
  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|27 Videos

Similar Questions

Explore conceptually related problems

Number of positive integral values of a for which the curve y=a^(x) intersects the line y= x is……….

Find the number of all the possible integral values of 1 for which the curve ya for which the curve y=(x^(4))/(4)-(3x^(2))/(2)+lambda x-3 hasthree tangents parallel to the axis of x

Number of positive integral value(s) of p for which origin lies inside the triangle formed by the lines L_(1) :15x+2y=30, L_(2) :5x-y+15=0" and px-y+6p-15=0 is

The number of integral values of m, for which the x coordinate of the point of intersection of the lines 3x + 4y = 9 and y = mx + 1 is also an integer, is

The number of values of 'a' for which the curves y^(2)=3x^(2)+a and y^(2)=4x intersects orthogonally

The number of integral values of m for which the x-coordinate of the point of intersection of the lines 3x+4y=9 and y=m x+1 is also an integer is 2 (b) 0 (c) 4 (d) 1

The number of intergral values of k for which the line, 3x+4y=k intersects the circle, x^(2)+y^(2)-2x-4y+4=0 at two district points is ______

The number of integral vlaue (s) of k for which the curve y = sqrt ( -x ^(2) -2x) and x+y- k=0 intersect at 2 distinct points is/are

ARIHANT MATHS-DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS -Exercise (Single Option Correct Type Questions)
  1. The graphs y=2x^(3)-4x+2 and y=x^(3)+2x-1 intersect at exacty 3 distin...

    Text Solution

    |

  2. In which of the following function Rolle's theorem is applicable ?

    Text Solution

    |

  3. The figure shows a right triangle with its hypotenuse OB along the Y-a...

    Text Solution

    |

  4. Number of positive integral value(s) of 'a' for which the curve y=a^(x...

    Text Solution

    |

  5. Given f(x)=4-(1/2-x)^(2/3),g(x)={("tan"[x])/x ,x!=0 1,x=0 h(x)={x},k(...

    Text Solution

    |

  6. If the function f(x)=x^(4)+bx^(2)+8x+1 has a horizontal tangent and a...

    Text Solution

    |

  7. Coffee is coming out from a conical filter, with height and diameter b...

    Text Solution

    |

  8. A horse runs along a circle with a speed of 20k m//h . A lantern is at...

    Text Solution

    |

  9. Water runs into an inverted conical tent at the height of the water is...

    Text Solution

    |

  10. Let f(x)=x^3-3x^2+2x . If the equation f(x)=k has exactly one posit...

    Text Solution

    |

  11. The x-intercept of the tangent at any arbitarary point of the curve (a...

    Text Solution

    |

  12. If f(x) is continuous and differentible over [-2, 5] and -4lef'(x)le3 ...

    Text Solution

    |

  13. A curve is represented parametrically by the equations x=t+e^(at) and ...

    Text Solution

    |

  14. At any two points of the curve represented parametrically by x=a (2 co...

    Text Solution

    |

  15. Let F(x)=int(sinx)^(cosx)e^((1+sin^(-1)(t))dt on [0,(pi)/(2)], then

    Text Solution

    |

  16. Given f' (1) = 1 and d/(dx) f(2x))=f'(x) AA x > 0. If f' (x) is diff...

    Text Solution

    |

  17. Let f(x)a n dg(x) be two functions which are defined and differentiabl...

    Text Solution

    |

  18. The range of values of m for which the line y = mx and the curve y=(x)...

    Text Solution

    |

  19. Let S be a square with sides of length x. If we approximate the change...

    Text Solution

    |

  20. Consider f(x)=int1^x(t+1/t)dt and g(x)=f'(x) If P is a point on the cu...

    Text Solution

    |