Home
Class 11
MATHS
Line a x+b y+p=0 makes angle pi/4 with x...

Line `a x+b y+p=0` makes angle `pi/4` with `xcosalpha+ysinalpha=p ,p in R^+` . If these lines and the line `xsinalpha-ycosalpha=0` are concurrent, then (a)`a^2+b^2=1` (b) `a^2+b^2=2` (c)`2(a^2+b^2)=1` (d) none of these

Answer

Step by step text solution for Line a x+b y+p=0 makes angle pi/4 with xcosalpha+ysinalpha=p ,p in R^+ . If these lines and the line xsinalpha-ycosalpha=0 are concurrent, then (a)a^2+b^2=1 (b) a^2+b^2=2 (c)2(a^2+b^2)=1 (d) none of these by MATHS experts to help you in doubts & scoring excellent marks in Class 11 exams.

Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

The straight lines 4a x+3b y+c=0 , where a+b+c are concurrent at the point a) (4,3) b) (1/4,1/3) c) (1/2,1/3) d) none of these

Find the value of alpha and p if the equation xcosalpha+ysinalpha=p is the normal form of the line sqrt(3x)+y+2=0 .

Knowledge Check

  • If the lines ax + 2y + 1 = 0, bx + 3y + 1 = 0, cx + 4y + 1 = 0 are concurrent, then a, b, c are in

    A
    AP
    B
    GP
    C
    HP
    D
    AGP

    • Similar Questions

    Explore conceptually related problems

    The area of a parallelogram formed by the lines a x+-b x+-c=0 is (a) (c^2)/((a b)) (b) (s c^2)/((a b)) (c) (c^2)/(2a b) (d) none of these

    If the straight line xcosalpha+ysinalpha=p touches the curve (x^2)/(a^2)+(y^2)/(b^2)=1 , then prove that a^2cos^2alpha+b^2sin^2alpha=p^2dot

    Show that the straight line xcosalpha+ysinalpha=p touches the curve x y=a^2, if p^2=4a^2cosalphasinalphadot

    Find the locus of the point of intersection of lines xcosalpha+ysinalpha=a and xsinalpha-ycosalpha=b(alpha is a variable).

    If a!=0 and the line 2b x+3c y+4d=0 passes through the points of intersection of the parabolas y^2=4a x and x^2=4a y , then (a) d^2+(2b+3c)^2=0 (b) d^2+(3b+2c)^2=0 (c) d^2+(2b-3c)^2=0 (d)none of these

    The straight lines x+2y-9=0,3x+5y-5=0 , and a x+b y-1=0 are concurrent, if the straight line 35 x-22 y+1=0 passes through the point (a) (a , b) (b) (b ,a) (c) (-a ,-b) (d) none of these

    The number of values of a for which the lines 2x+y-1=0 , a x+3y-3=0, and 3x+2y-2=0 are concurrent is 0 (b) 1 (c) 2 (d) infinite

    Home
    Profile