Home
Class 12
MATHS
The lines p(p^(2)+1)x-y+q=0 and (p^(2)+1...

The lines `p(p^(2)+1)x-y+q=0 and (p^(2)+1)^(2)x+(p^(2)+1)y+2q=0` are perpendicular to a common line for :

A

no value of p

B

exactly one value of p

C

exactly two values of p

D

more than two values of p.

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES

    MODERN PUBLICATION|Exercise Latest Questions from AIEEE/JEE Examinations|12 Videos
  • CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Questions from Karnataka CET & COMED)|8 Videos
  • CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Questions from Karnataka CET & COMED)|8 Videos
  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise RCQ.s Recent Competitive Questions (Questions from Karnataka CET & Comed|6 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|12 Videos

Similar Questions

Explore conceptually related problems

The lines x+(a-1) y+1=0 and 2 x+a^(2) y-1=0 are perpendicular if

The roots of the equation (q- r) x^(2) + (r - p) x + (p - q)= 0 are

The equation of the line common to the pair of lines (p^(2)-q^(2)) x^(2)+(q^(2)-r^(2)) x y+(r^(2)-p^(2)) y^(2)=0 and (l-m) x^(2)+(m-n) x y+(n-l) y^(2)=0 is

(P+Q)^2 =p^2 +2pq +Q^2=1 represents an equation used in :

The circles : x^2+y^2 +2g_1x-a^2 =0 and x^2+y^2 +2g_2x-a^2=0 cut each other orthogonally. Let p_1 and p_2 be the perpendiculars from (0, a) and (0, - a) on the common tangent of these circles. Then p_1p_2 equals :

Area of the triangle with vertices (a, b ), (x_(1), y_(1)) and (x_(2), y_(2)) , where a, x_(1), x_(2) are in G.P. with common ratio r and b, y_(1), y_(2) are in G.P. with common ratio s is :

If x = acos^(3)theta sin^(2)theta , y = asin^(3)theta cos^(2)theta and (x^(2) + y^(2))^(p)/(xy)^(q)(p,q in N) is independent of theta , then :

Let P(x_(1), y_(1)) and Q(x_(2), y_(2)), y_(1) lt 0, y_(2) lt 0 be the end points of latus rectum of the ellipse x^(2)+4 y^(2)=4 . The equations of parabolas with Iatus rectum P Q are

The equation of the pair of lines through (1,-1) and perpendicular to the pair of lines x^(2)-x y-2 y^(2)=0 is

MODERN PUBLICATION-CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES -Multiple Choice Questions (LEVEL-II)
  1. The points P(2,3) , Q(3, 5), R(7, 7) and S(4, 5) are such that:

    Text Solution

    |

  2. If P is a point (x, y) on the line y= -3x such that P and Q(3, 4) are ...

    Text Solution

    |

  3. Let A(-1, 0), B(0, 0) and C(3, 3sqrt(3)) be three points. Then the bis...

    Text Solution

    |

  4. The position of a moving point in XY-plane at time t is given by (u co...

    Text Solution

    |

  5. If the line y = mx meets the lines x+2y-1=0 and 2x-y+3=0 at the same p...

    Text Solution

    |

  6. Co-ordinates of the vertices of a triangle are (2, 0), (6, 0) and (1, ...

    Text Solution

    |

  7. The equation of base of an equilateral triangle is x+y=2 and vertex is...

    Text Solution

    |

  8. The triangle formed by the tangent to the curve f(x)=x^(2)+bx-b at the...

    Text Solution

    |

  9. A square of side a lies above the x-axis and has one vertex at the ori...

    Text Solution

    |

  10. If the equation of the locus of a point equidistant from the points (a...

    Text Solution

    |

  11. Locus of centroid of the triangle whose vertices are (a cos t, a sin ...

    Text Solution

    |

  12. Triangle is formed by the co-ordinates (0, 0), (0, 21) and (21, 0). Fi...

    Text Solution

    |

  13. If non-zero numbers a, b, c are in H.P., then the straight line (x)/(...

    Text Solution

    |

  14. If a vertex of a triangle is (1, 1) and the mid-points of two sides th...

    Text Solution

    |

  15. A straight line through the point A(3, 4) is such that its intercept b...

    Text Solution

    |

  16. If (a, a^(2)) falls inside the angle made by the lines y=(x)/(2), x g...

    Text Solution

    |

  17. The perpendicular bisector of the line segment joining P(1, 4) and Q(k...

    Text Solution

    |

  18. The co-ordinates of a point on the line x+y=3 such that the point is a...

    Text Solution

    |

  19. Consider three points P-= (-sin (beta-alpha), -cos beta), Q-= (cos (be...

    Text Solution

    |

  20. The lines p(p^(2)+1)x-y+q=0 and (p^(2)+1)^(2)x+(p^(2)+1)y+2q=0 are per...

    Text Solution

    |