Home
Class 11
MATHS
Statement 1: The joint equation of lines...

Statement 1: The joint equation of lines `y=xa n dy=-x` is `y^2=-x^2,` i.e., `x^2+y^2=0`
Statement 2: The joint equation of lines `a x+b y=0` and `c x+dy=0` is `(a x+b y)(c x+dy)=0` , wher `a , b , c , d` are constant.

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    CENGAGE PUBLICATION|Exercise All Questions|507 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|986 Videos

Similar Questions

Explore conceptually related problems

If a system of three linear equations x+4a y+a=0,x+3b y+b=0, and x+2c y+c=0 is consistent, then prove that a ,b , c are in H.P.

Statement-1 : Solution of (1 + xsqrt(x^2+y^2) ) dx + y (-1 +sqrt(x^2+y^2)) dy = 0 is x-y^2/2+1/3(x^2 + y^2)^(3/2) +c=0 Statement-2 : Solution of (1 + xy) y dx + (1-xy) x dy = 0 is ln (x/y)-1/(xy)=c

2^(x-y)dx+2^(y-x)dy=0

If the line a x+b y+c=0 is a normal to the curve x y=1, then (a) a >0,b >0 (b) a >0,b >0 (d) a 0

ydx - (x + 2y ^(2) ) dy = 0

The solution of the equation (x^2y+x^2)dx+y^2(x-1)dy=0 is given by

The solution of the equation (dy)/(dx)+y=e^(-x), y(0)=0 is -

y dx + (x - y^(2))dy = 0

The solution of (x d x+y dy)/(x dy-y dx)=sqrt((1-x^2-y^2)/(x^2+y^2)) is

The solution of the differential equation y^(2)dx- x^(2)dy = 0 is

CENGAGE PUBLICATION-STRAIGHT LINES-All Questions
  1. Statement-l: If the diagonals of the quadrilateral formed by the lines...

    Text Solution

    |

  2. Statement :Two different lines can be drawn passing through two given ...

    Text Solution

    |

  3. Statement 1: The joint equation of lines y=xa n dy=-x is y^2=-x^2, i.e...

    Text Solution

    |

  4. Statement 1: If the sum of algebraic distances from point A(1,1),B(...

    Text Solution

    |

  5. Each question has four choice: a, b, c and d, out of which only one is...

    Text Solution

    |

  6. Statement 1:If the point (2a-5,a^2) is on the same side of the line x+...

    Text Solution

    |

  7. Statement 1: Each point on the line y-x+12=0 is equidistant from the l...

    Text Solution

    |

  8. If lines p x+q y+r=0,q x+r y+p=0 and r x+p y+q=0 are concurrent, the...

    Text Solution

    |

  9. the diagonals of the parallelogram formed by the the lines a1x+b1y+c1=...

    Text Solution

    |

  10. If the lines joining the origin and the point of intersection of curve...

    Text Solution

    |

  11. Find the angle between the lines joining the origin to the points of i...

    Text Solution

    |

  12. Prove that the straight lines joining the origin to the points of inte...

    Text Solution

    |

  13. If pairs of straight lines x^2-2pxy-y^2=0and x^2-2qxy-y^2=0 be such th...

    Text Solution

    |

  14. Find the value of a for which the lines represented by ax^(2)+5xy+2y^(...

    Text Solution

    |

  15. Find the acute angle between the pair of lines represented by x(cosalp...

    Text Solution

    |

  16. If the angle between the lines represented by 2x^2+5xy+3y^2+7x+13y-3=0...

    Text Solution

    |

  17. If the pair of straight lines ax^(2)+2hxy+by^(2)=0 is rotated about th...

    Text Solution

    |

  18. The orthocenter of the triangle formed by the lines xy=0 and x+y=1 is

    Text Solution

    |

  19. The lines joining the origin to the point of intersection of 3x^(2)+...

    Text Solution

    |

  20. If the slope of one line is double the slope of another line and the c...

    Text Solution

    |