Home
Class 10
MATHS
A variable is the sum of two such quanti...

A variable is the sum of two such quantities one of which varies directly with x and the other varies directly with `x^2 ` . If y =3 when x =1 and y=10 when x=2 , then find the relation between x and y .

Text Solution

Verified by Experts

The correct Answer is:
y=x+`2x^2`
Promotional Banner

Topper's Solved these Questions

  • VARIATION

    CALCUTTA BOOK HOUSE|Exercise EXERCISE|59 Videos

  • TRIGONOMETRIC RATIOS OF COMPLEMENTARY ANGLES

    CALCUTTA BOOK HOUSE|Exercise EXERCISE|28 Videos

Similar Questions

Explore conceptually related problems

y is the sum of two variables, one of which vaaries directly with the variable x and the other varies inversetly with x, If y = -1 when x = 1 and y = 5 when x = 3, then find the relation between x and y .

If xprop y^(2) and y= 2a when x=a, then find the relation between x and y .

If x prop y^2 and y = 2a, when x = a, then find the relation between x and y.

y is sum of two variables, one in which varies directly with x and another varies inversely with x. When x= 1 then y = 1 and x = 3 the y = 5. Find the relation between x and y,

If x=acostheta and y=bsintheta ,find the relation between x and y.

If 1/y - 1/x prop 1/x - 1/y then find the relation between x and y.

x varies directly with y and inversely with z if y y =4 ,z=5, then x=3 . Again ,if y=16 , z=30 , then find the value of x .

If A=({:(0,x),(y,0):}) " and " A^(3)+A=0 , then find the relation between x and y (x,y ne 0).

y varies directly with square root of x and y =9 when x =9 . Find the value of x when y =6 .

y prop x^2 and y=9 when x =9 . If y =4 then find the value of x .

CALCUTTA BOOK HOUSE-VARIATION-EXERCISE
  1. If x,y,z are variables , but (y+z-x) is a constant and if (x+y-z) prop...

    Text Solution

    |

  2. If x prop (y+z) , y prop (z+x) and z prop(x+y) and if k, l and m are ...

    Text Solution

    |

  3. A variable is the sum of two such quantities one of which varies dire...

    Text Solution

    |

  4. A large sphere is made by melting two gold - spheres of raii r and r r...

    Text Solution

    |

  5. 2 men can cultivate 6 acres of land in 4 days . By using theory of var...

    Text Solution

    |

  6. 15 men can cultivate 18 bighas of land in 5 days. By using theory of v...

    Text Solution

    |

  7. If 5 men can cultivate 10 acres of land in 9 days,then by usnig theory...

    Text Solution

    |

  8. In a fort there was reserved enough food of 2400 soldires for 39 days...

    Text Solution

    |

  9. If 5 men working 6 hours a day can complete a work in 20 days , in how...

    Text Solution

    |

  10. The length of a pendulum varies inversely as the square of the number ...

    Text Solution

    |

  11. If x prop yz^2, y prop ab^2 and zprop b/a , then find how x varies wit...

    Text Solution

    |

  12. if in the variation x =ky and y=k'z, a,b,c and a' ,b',c' be two sets o...

    Text Solution

    |

  13. If ax^2+2hxy+by^2 prop z^2 and (lx+my) prop z where a,b,h,l,m are co...

    Text Solution

    |

  14. If (u^2+v^2) prop (x^2 +y^2 ) and uv prop xy then show that (u+v) pro...

    Text Solution

    |

  15. The area of circle varies directly as its radius . If the radius be 2 ...

    Text Solution

    |

  16. The volume of a pyramid varies jointly as the height and the area of...

    Text Solution

    |

  17. The volume of a right circualr cylinder varies as the square of the r...

    Text Solution

    |

  18. The distance through which a heavy body falls from rest varies as the ...

    Text Solution

    |

  19. If a stone falls s ft in t seconds from rest s propt^2 . If it is obs...

    Text Solution

    |

  20. Pressure (=P)in a liquid varies as the depth (=d) when the density (=D...

    Text Solution

    |