Home
Class 12
MATHS
The equation of the tangent to the parab...

The equation of the tangent to the parabola `y^2=4x` whose slope is positive and which also touches `x^2+y^2=1/2` is

A

y = x + 1

B

y = 2x + 1

C

x + y = 2

D

`y = 4x +1/2`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • JEE MOCK TEST 24

    NTA MOCK TESTS|Exercise MATHS|25 Videos

  • JEE MOCK TEST 3

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

The equations of the tangents to the circle x^(2)+y^(2)=25 with slope 2 is

Find the equation of the tangent to the parabola x=y^(2)+3y+2 having slope 1 .

The point of intersection of the tangent to the parabola y^(2)=4x which also touches x^(2)+y^(2)=(1)/(2) is

" Equation of the tangent to "y^(2)=4a(x+a)" having slope "1" is "

Find the equation of the tangent to the parabola y^(2)=8x having slope 2 and also find the point of contact.

Find the equation of the tangent to the parabola y^(2)=4x+5 which is parallel to the straight line y=2x+7

Find the equation of the common tangent to the parabolas y^(2)=32x and x^(2)=4y

The equation of the tangent to the parabola y^(2) = 8x, which is parallel to the line 2x-y+7=0 ,will be

NTA MOCK TESTS-JEE MOCK TEST 26-MATHEMATICS
  1. The value of int((x-4))/(x^2sqrt(x-2)) dx is equal to (where , C is t...

    Text Solution

    |

  2. The equation of the curve passing through the point (1,1) and satisfyi...

    Text Solution

    |

  3. Five different games are to be distributed among 4 children randomly. ...

    Text Solution

    |

  4. Let the focus S of the parabola y^2=8x lies on the focal chord PQ of t...

    Text Solution

    |

  5. If p to (q vv r) is false, then the truth values of p,q,r are respect...

    Text Solution

    |

  6. 5/(3^2 7^2)+9/(7^2 11^2)+13/(11^2 15^2)+....oo

    Text Solution

    |

  7. If 13^99-19^93 is divided by 162, then the remainder is

    Text Solution

    |

  8. The int(0)^(pi//2)sgn(sin^2x-sinx+1/2) dx is equal to , (where , sgn ...

    Text Solution

    |

  9. If veca=2hati+3hatj+4hatk,veca.vecb=2 and vecaxxvecb=2hati-hatk, then ...

    Text Solution

    |

  10. Equation of the plane passing through the point of intersection of lin...

    Text Solution

    |

  11. The equation of the tangent to the parabola y^2=4x whose slope is posi...

    Text Solution

    |

  12. If A is 2xx2 matrix such that A[{:(" "1),(-1):}]=[{:(-1),(2):}]and A^2...

    Text Solution

    |

  13. consider the planes P1:2x-y+z=6 and P2:x+2y-z=4 having normal vec(N)1 ...

    Text Solution

    |

  14. Let I1=int0^(pi/2)(dt)/(1+t^6)and I2=int0^(pi/2)(xcosxdx)/(1+(xsinx+co...

    Text Solution

    |

  15. A wire of length 28 cm is bent to form a circular sector , then the ra...

    Text Solution

    |

  16. Let x^2 + y^2 = r^2 and xy = 1 intersect at A & B in first quadrant, I...

    Text Solution

    |

  17. If f(x)={{:(a+bcosx+csinx)/x^2,,xgt0), (9,,xge0):}} is continuous at...

    Text Solution

    |

  18. Let p and q be the length of two chords of a circle which subtend angl...

    Text Solution

    |

  19. Let ar=r^4Cr,br=(4-r)^4Cr,Ar=[{:(ar,2),(3,br):}] and A = sum (r=0)^4Ar...

    Text Solution

    |

  20. The product of all the values of |lambda|, such that the lines x+2y-...

    Text Solution

    |