Home
Class 12
MATHS
Consider the equation of a parabola y ^(...

Consider the equation of a parabola `y ^(2) + 4ax =0,` where `a gt 0.` Which of the following is false ?

A

Tangent at the vertex is x = 0

B

Directrix of the parabola is x = 0

C

Vertex of the parabola is not at the origin

D

Focus of the parabola is at (a, 0)

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • QUESTION-PAPERS-2017

    BITSAT GUIDE|Exercise MATHEMATICS |45 Videos

  • RECTANGULAR COORDINATES AND STRAIGHT LINE

    BITSAT GUIDE|Exercise BITSAT ARCHIVES|16 Videos

Similar Questions

Explore conceptually related problems

Equation of tangent to parabola y^(2)=4ax

Consider the cubic equation x^(3)+ax^(2)+bx+c=0, where a,b,c are real numbers,which of the following statements is correct?

Let alpha and beta (a lt beta) " be the roots of the equation " x^(2) + bx + c = 0," where " b gt 0 and c lt 0 . Consider the following : 1. alpha + beta + alpha beta gt 0 2. alpha^(2) beta + beta ^(2) alpha gt 0 Which of the above is//are correct ?

Equation of the directrix of the parabola y^(2)+4x+2=0 is

Equation of normal to the parabola y^(2)=4ax having slope m is

BITSAT GUIDE-QUESTION-PAPERS-2018-MATHEMATICS
  1. The equation of the circle which passes through the point (4, 5) and h...

    Text Solution

    |

  2. Eccentricity of ellipse (x^(2))/(a^(2)) +(y^(2))/(b^(2))=1 if it passe...

    Text Solution

    |

  3. Consider the equation of a parabola y ^(2) + 4ax =0, where a gt 0. Whi...

    Text Solution

    |

  4. The value of underset(n rarr oo)lim (1+2+3+…n)/(n^(2)+100) is equal to...

    Text Solution

    |

  5. lim(x rarr0)sqrt((x-sin x)/(x+sin^(2)x))

    Text Solution

    |

  6. The probability of getting 10 in a single throw of three fair dice is

    Text Solution

    |

  7. A solution of the equation tan^(-1)(1+x)+tan^(-1)(1-x)=(pi)/(2) is

    Text Solution

    |

  8. If A=1/3{:[(1,2,2),(2,1,-2),(a,2,b)]:} is an orthogonal matrix, then

    Text Solution

    |

  9. The points represented by the complex numbers 1+ i, -2+3i and ( 5)/( 3...

    Text Solution

    |

  10. If matrix A=[{:(3,2,4),(1,2,-1),(0,1,1):}]and A^(-1)=1/k adj A, then k...

    Text Solution

    |

  11. If x,y,z are complex numbers , then Delta=|(0,-y,-z),(bary,0,-x),(barz...

    Text Solution

    |

  12. If f(x)={(sin x;x rational) (cos x;x is irrational) then the function ...

    Text Solution

    |

  13. If : f(x) {:(=1", ... "0 ltx le (3pi)/4), (= 2 ...

    Text Solution

    |

  14. The value of c in (0, 2) satisfying the mean value theorem for the fun...

    Text Solution

    |

  15. If y=(x)/(x+1)+(x+1)/(x)," then "(d^(2)y)/(dx^(2)) at x=1 is equal to

    Text Solution

    |

  16. If y=e^(2x), then (d^(2)y)/(dx^(2)).(d^(2)x)/(dy^(2)) is equal to

    Text Solution

    |

  17. A ball is dropped from a platform 19.6m high. Its position function is

    Text Solution

    |

  18. The value of the integral int (a)^(b) (sqrt(x)dx)/(sqrt(x)+sqrt(1+b-x...

    Text Solution

    |

  19. int (e^(x^(2)) (2x+x^(3)))/((3+x^(2))^(2))dx is equal to :

    Text Solution

    |

  20. If overset(a)underset(0) int f(2a-x)dx = m and overset(a)underset(0)in...

    Text Solution

    |