Home
Class 12
MATHS
Prove that the curves y^2=4x and x^2=4y ...

Prove that the curves `y^2=4x` and `x^2=4y` divide the area of square bounded by `x=0,x=4,y=4` and `y=0` into three equal parts.

Promotional Banner

Topper's Solved these Questions

  • CUET MOCK TEST 2022

    XII BOARDS PREVIOUS YEAR|Exercise Question|49 Videos

Similar Questions

Explore conceptually related problems

Prove that the curves y^(2)=4x and x^(2)=4y divide the area of the square bounded by x=0,x=4,y=4 and y=0 into three equal parts

Prove that the curves y^(2)=4x and quad x^(2)=4y divide the area of the square bounded by x=0,x=4,y=4 and y=0 into three equal parts.

The area bounded by y=4-x^(2),y=0 and y=3 is

Find the ratio in which y=sqrt(5-x^(2)) divides the area of the region bounded by x^(2)-4y=0 and 2x-y=0

Find the area bounded by the curve y=4x^(2),x=0,x=1 and y=4 in first quadrant.

The area of the region bounded by the curves y^(2)=4x and |y|=x ,is A then 3A equals

The area of the region bounded by the curves y^(2)=4x and |y|=x, is A then 3A equals

The area of the region bounded by the curves y^(2)=4x and |y|=x , is A then 3A equals

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. If the sum of lengths of hypotenuse and a side of a right angled tr...

    Text Solution

    |

  2. Find the position vector of the foot of perpendicular and the perpe...

    Text Solution

    |

  3. Prove that the curves y^2=4x and x^2=4y divide the area of square b...

    Text Solution

    |

  4. Evaluate : int0^(3/2)|xcospix|dx

    Text Solution

    |

  5. Evaluate : int0^(pi/2)(sin^2x)/(sin x+cos x)dx

    Text Solution

    |

  6. In a game, a man wins Rs. 5 for getting a number greater than 4 and ...

    Text Solution

    |

  7. An urn contains 4 balls. Two balls are drawn at random from the urn...

    Text Solution

    |

  8. There are two types of fertilisers ‘A’ and ‘B’. ‘A’ consists of 12% ...

    Text Solution

    |

  9. Solve the equation of x:sin^(-1)x+sin^(-1)(1-x)=cos^(-1)x

    Text Solution

    |

  10. Five bad oranges are accidently mixed with 20 good ones. If four or...

    Text Solution

    |

  11. Use elementary column operation C2->C2+2C1 in the following matrix equ...

    Text Solution

    |

  12. Write the number of all possible matrices of order 2xx2 with each ent...

    Text Solution

    |

  13. If x in N and |[x+3,-2],[-3x,2x]|=8, then find the value of x

    Text Solution

    |

  14. Find the vector equation of the plane with intercepts 3,-4 and 2 on x ...

    Text Solution

    |

  15. Find the coordinates of the point where the line through the points A(...

    Text Solution

    |

  16. Find the position vector of a point which divides the join of points w...

    Text Solution

    |

  17. Write the number of vectors of unit length perpendicular to both the ...

    Text Solution

    |

  18. The two adjacent sides of a parallelogram are 2 hat i-4 hat j-5 hat k ...

    Text Solution

    |

  19. Show that the binary operation * on A=R-{-1} defined as a*b=a+b+a b fo...

    Text Solution

    |

  20. Using integration find the area of the region "{"x , y")":x^2+y^2lt=2a...

    Text Solution

    |