Home
Class 12
MATHS
The line (x)/(a)+(y)/(b)=1 touches the c...

The line `(x)/(a)+(y)/(b)=1` touches the curve `y=be^(-x//a)` at the point

A

(0,0)

B

(0,a)

C

(0,b)

D

(b,0)

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • JEE MOCK TEST 15

    NTA MOCK TESTS|Exercise MCQS (MATH)|25 Videos
  • JEE MOCK TEST 18

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

The line (x)/(a)+(y)/(b)=2 touches the curve ((x)/(a))^(n)+((y)/(b))^(n)=2 at the point (a, b) for

If the line x+y=0 touches the curve y=x^(2)+bx+c at the point x=-2 , then : (b,c)-=

If the line y=4x+2 touches the curve y=a+bx+3x^(2) at the point where it crosses the Y-axes , then : (a,b)-=

If the line y=4x+2 touches the curve y=a+bx+3x^(2) at the point where it crosses the Y-axis, then : (a, b)-=

If lines T_(1) and T_(2) touch the curve y=x^(2)-3x+2 at the points where the curve meets the X- axis, then

If the line y=4x-5 touches the curve y^(2)=ax^(3)+b at the point (2,3) , then : (a, b)-=

If the line y=4x -5 touches the curve y^(2) =ax^(3) +b at the point (2,3) then a+b is

NTA MOCK TESTS-JEE MOCK TEST 17-MATHEMATICS
  1. The area bounded by the curve y^(2)=1-x and the lines y=([x])/(x),x=-...

    Text Solution

    |

  2. The curve satisfying the differential equation (dx)/(dy) = (x + 2yx^2)...

    Text Solution

    |

  3. The line (x)/(a)+(y)/(b)=1 touches the curve y=be^(-x//a) at the point

    Text Solution

    |

  4. Six distinct numbers are chosen from the first 10 natural numbers. The...

    Text Solution

    |

  5. A plane P = 0, which is perpendicular to line (x-2)/2 = (y+2)/(2) = (z...

    Text Solution

    |

  6. If A^2 = A, then (I + A)^(4) is equal to

    Text Solution

    |

  7. The mean and variance of a data set comprising 15 observations are 15 ...

    Text Solution

    |

  8. If A = {x : x = 6^n - 5n - 1, n in N} and B = {x : x = 25(n - 1), n in...

    Text Solution

    |

  9. If f (tan x) = cos 2x , x != (2n + 1) pi/2, n in I then incorrect stat...

    Text Solution

    |

  10. The value of lim(x to pi) (tan(picos^2 x))/(sin^2 x) is equal to

    Text Solution

    |

  11. If f(x) = ((2 + x)/(1 + x))^(1 + x), then f'(0) is equal to

    Text Solution

    |

  12. Total number of lines touching atleast two circles of the family of fo...

    Text Solution

    |

  13. The locus of the middle points of the chords of the parabola y^(2)=4ax...

    Text Solution

    |

  14. A flagstaff stands vertically on a pillar, the height of the flagstaff...

    Text Solution

    |

  15. If z=3-4i then z^4-3z^3+3z^2+99z-95 is equal to

    Text Solution

    |

  16. If the roots of the equation x^(3) + bx^(2) + cx + d = 0 are in arithm...

    Text Solution

    |

  17. In the expression of (x^(4/5) + x^(-1/5))^(n), the coefficient of the ...

    Text Solution

    |

  18. In the interval (0,2 pi), sum of all the roots of the equation sin(pi ...

    Text Solution

    |

  19. There are 3 oranges, 5 apples and 6 mangoes in a fruit basket. Number ...

    Text Solution

    |

  20. If int(x^(pq-p-1))/((x^p +1)^(q))dx= 2(1+x^(-p))^(1-q)/(lambda p(q-1))...

    Text Solution

    |