Home
Class 12
MATHS
The tangent to the curve x^(2) = y at (1...

The tangent to the curve `x^(2) = y` at (1,1) makes an angle `theta` with the positive direction of x-axis. Which one of the following is correct ?

A

`theta lt (pi)/(6)`

B

`(pi)/(6) lt theta lt (pi)/(4)`

C

`(pi)/(4) lt theta lt (pi)/(3)`

D

`(pi)/(3) lt theta lt (pi)/(2)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2021

    NDA PREVIOUS YEARS|Exercise MULTIPLE CHOICE QUESTIONS|120 Videos

  • SEQUENCE AND SERIES

    NDA PREVIOUS YEARS|Exercise MATH|148 Videos

Similar Questions

Explore conceptually related problems

The equation of a tangent to the parabola, x^(2) = 8y , which makes an angle theta with the positive direction of x-axis, is:

The length of the focal chord which makes an angle theta with the positive direction of x -axis is 4a cos ec^(2)theta

If the tangent at each point of the curve y=(2)/(3) x^(3)-2ax^(2)+2x+5 makes an acute angle with the positive direction of x-axis, then

The point on the curve y=(x-1)(x-2) at which the tangent makes an angle of 135^(@) with the positive direction of x-axis has coordinates

If the tangent at any point on the curve y=x^(5)+5x-12 makes an angle theta with the x - axis then theta is

If the equation of the pair of straight lines passing through the point (1,1), one making an angle theta with the positive direction of the x-axis and the other making the same angle with the positive direction of the y-axis,is x^(2)-(a+2)xy+y^(2)+a(x+y-1)=0,a!=2 then the value of sin2 theta is a-2 (b) a+22(a+2)(d)(2)/(a)

If the normal to the curve y =f(x) at the point (1, 2) makes an angle 3pi//4 with the positive x-axis, then f'(1) is

Tangent to the curve x^(2)=2y at the point (1, (1)/(2)) makes with the X-axes an angle of

NDA PREVIOUS YEARS-QUESTION PAPER 2021(I)-MULTIPLE CHOICE QUESTION
  1. If the function f(x) = x^(2) -kx is monotonically increasing the inter...

    Text Solution

    |

  2. What is the area bounded by y = [x], where [.] is the greatest integer...

    Text Solution

    |

  3. The tangent to the curve x^(2) = y at (1,1) makes an angle theta with ...

    Text Solution

    |

  4. Consider the following relations for two events E and F: 1. P (E cap...

    Text Solution

    |

  5. If P(A|B) lt P(A), then which one of the following is correct ?

    Text Solution

    |

  6. A problem is given to three students A, B and C, whose probabilities o...

    Text Solution

    |

  7. In a cricket match, a batsman hits a six 8 times out of 60 balls he pl...

    Text Solution

    |

  8. Two regression lines are given as 3x-4y+8=0 and 4x-3y-1 = 0 Consider...

    Text Solution

    |

  9. Two regression lines are given as 3x-4y+8=0 and 4x-3y-1 = 0 Consider...

    Text Solution

    |

  10. The marks obtained by 60 students in a certain subject out of 75 are g...

    Text Solution

    |

  11. The marks obtained by 60 students in a certain subject out of 75 are g...

    Text Solution

    |

  12. What is the mean of natural numbers contained in the interval (15, 64)...

    Text Solution

    |

  13. For the set of number x, x, x+2, x+3, x+10 where x is a natural numb...

    Text Solution

    |

  14. The mean of 10 observations is 5.5. If each observation is multiplied ...

    Text Solution

    |

  15. If g is the geometric mean of 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024...

    Text Solution

    |

  16. If the harmonic mean of 60 and x is 48, then what is the value of x ?

    Text Solution

    |

  17. What is the mean deviation of first 10 even natural numbers ?

    Text Solution

    |

  18. If overset(10)underset(r=1)Sigmax(i) = 110 and overset(10)underset(i...

    Text Solution

    |

  19. 3-digit numbers are formed using the digits 1, 3, 7 without repetion o...

    Text Solution

    |

  20. What is the probability that the roots of the equation x^(2) +x +n = 0...

    Text Solution

    |