Home
Class 12
MATHS
It is pouring down rain and the amount o...

It is pouring down rain and the amount of rain hitting point `(x,y)` is given by ` f (x,y) =|x^(3)+2x ^(2)y- 5xy ^(2)-6y ^(3)|.` If Mr. 'A' starts at `(0,0),` find number of possible value (s) for 'm' such that y= mx is a line along which Mr.' A could walk without any rain falling on him.

Promotional Banner

Topper's Solved these Questions

  • FUNCTION

    VK JAISWAL ENGLISH|Exercise MATCHING TYPE PROBLEMS|6 Videos

  • ELLIPSE

    VK JAISWAL ENGLISH|Exercise Exercise-4 : Subjective Type Problems|2 Videos

  • HYPERBOLA

    VK JAISWAL ENGLISH|Exercise Exercise-4 : Subjective Type Problems|3 Videos

Similar Questions

Explore conceptually related problems

The point of intersection of the two lines given by 2x^2-5xy +2y^2-3x+3y+1=0 is

The point of intersection of the pair of straight lines given by 6x^(2)+5xy-4y^(2)+7x+13y-2=0 , is

Find the point of intersection of the lines 2x-3y+8=0 and 4x+5y=6

Find the coordinates of points where pair of lines given by equation 2x^(2)-6y^(2)+xy-2x+17y-12=0 intersect line x=1 .

The lines joining the origin to the points of intersection of the line 3x-2y -1 and the curve 3x^2 + 5xy -3y^2+2x +3y= 0 , are

Find the points of intersection of the following pair of lines: 2x+3y-6=0, 3x-2y-6=0

Let f (x,y)= x^(2) - y^(2) and g (x,y)=2xy. such that (f ( x,y))^(2) -(g (x,y))^(2)=1/2 and f (x,y) . G(x,y) =(sqrt3)/(4) Find the number of ordered pairs (x,y) ?

Find the distance of the point (2,3) from the line 2x-3y+9=0 measured along a line x-y+1=0.

if the system of following equations in x and y 2x+3y+4=0,3x+5y+6=0 2x^(2)+6xy+5y^(2)+8x+12y+1=t Consists of a solution, then find the value of |t|

The equation of the medians of a triangle formed by the lines x+y-6=0, x-3y-2=0 and 5x-3y+2=0 is

VK JAISWAL ENGLISH-FUNCTION -SUBJECTIVE TYPE PROBLEMS
  1. Let f(x)=x^2-bx+c,b is an odd positive integer. Given that f(x)=0 ha...

    Text Solution

    |

  2. Let f(x) be a continuous function such that f(0) = 1 and f(x)=f(x/7)=x...

    Text Solution

    |

  3. If f (x) = 4x ^(3) -x ^(2) -2x +1 and g (x) = {{:(min {f(t): 0 le t le...

    Text Solution

    |

  4. If x=10 sum(r=3) ^(100) (1)/((r ^(2) -4)), then [x]= (where [.] deno...

    Text Solution

    |

  5. Let f (x) = (ax+b)/(xc+d), where a,b,c d are non zero If f (7) =7,f (1...

    Text Solution

    |

  6. Let A = {x|x ^(2) -4x+ 3 lt 0 , x in R} If A subB, then the rang of ...

    Text Solution

    |

  7. Let the maximum value of expression y= (x ^(4)-x ^(2))/(x ^(6) + 2x ^(...

    Text Solution

    |

  8. If f (x) is an even function, then the number of distinect real number...

    Text Solution

    |

  9. The least integral value of m, m inR for which the range of function ...

    Text Solution

    |

  10. Let x(1), x (2), x(3) satisfying the equation x ^(3) - x^(2) + betax +...

    Text Solution

    |

  11. Let A={1,2,3,4}and B={0,1,2,3,4,5}. If 'm' is the number of strictly i...

    Text Solution

    |

  12. If underset(r=1)overset(n)sum [log(2) r]=2010 where [.] denotes great...

    Text Solution

    |

  13. Let f (x) = (ax+b)/(xc+d), where a,b,c d are non zero If f (7) =7,f (1...

    Text Solution

    |

  14. It is pouring down rain and the amount of rain hitting point (x,y) is ...

    Text Solution

    |

  15. Let P (x) be a cubic polynomical with leading co-efficient unity. Let ...

    Text Solution

    |

  16. Let f (x) = x^(2)+10x+20. Find the number of real solution of the equa...

    Text Solution

    |

  17. If range of f (x)= ((ln x) (ln x ^(2))+ln x ^(3)+3)/(ln ^(2) x+ln x ^(...

    Text Solution

    |

  18. Polynomial P(x) is divided by (x-3) , the remainder if 6.If P(x) is di...

    Text Solution

    |

  19. The equation 2x ^(3) -3x ^(2) +p=0 has three real roots. Then find the...

    Text Solution

    |

  20. Find the number of integers in the domain of f (x) = (1)/(sqrt(ln cos ...

    Text Solution

    |