Home
Class 9
MATHS
If (a1)/( a2) =(b1)/( b2) = (C1) /( c2)...

If ` (a_1)/( a_2) =(b_1)/( b_2) = (C_1) /( c_2) ` where ` a_1x +b_1y +c_1=0 and a_2x +b_2y +c_2 =0, ` then the given pair of linear equation has …………… solutions

A

no solutions

B

two solutions

C

infinite number

D

a unique

Text Solution

Verified by Experts

The correct Answer is:
c
Promotional Banner

Topper's Solved these Questions

  • ALGEBRA

    FULL MARKS|Exercise Assignment Answer the following questions :|1 Videos
  • ALGEBRA

    FULL MARKS|Exercise Assignment ( Fill in the blanks)|5 Videos
  • COORDINATE GEOMETRY

    FULL MARKS|Exercise TEXTBOOK ACTIVITY|2 Videos

Similar Questions

Explore conceptually related problems

If (a_(1))/(a_(2))=(b_(1))/(b_(2))cancel(=)(c_(1))/(c_(2)) where a_(1)x + b_(1) y + c_(1) = 0 and a_(2) x + b_(2) y + c_(2)= 0 then the given pair of linear equation has "____________" solution (s) .

If ( a_(1))/(a_(2)) cancel( =) ( b_(1))/(b_(2)) where a_(1) x + b_(1) y + c _(1) = 0 and a_(2) x + b_(2) y + c_(2) = 0 then the given pair of linear equation has "______________" solution (s)

The line a_(1)x+b_(1)y+c_(1)=0 and a_(2)x+b_(2)y+c_(2)=0 are perpendicular if:

If b_(1)b_(2) = 2(c_(1) + c_(2)) , then at least one of the equations x^(2) + b_(1)x + c_(1) = 0 and x^(2) + b_(2)x + c_(2) = 0 has

If the lines a_1x+b_1y+c_1=0 and a_2x+b_2y+c_2=0 cut the coordinae axes at concyclic points, then prove that |a_1a_2|=|b_1b_2|

If u=a_1x+b_1y+c_1=0,v=a_2x+b_2y+c_2=0, and (a_1)/(a_2)=(b_1)/(b_2)=(c_1)/(c_2), then the curve u+k v=0 is (a)the same straight line u (b)different straight line (c)not a straight line (d)none of these

If a_(1) x^(3) + b_(1)x^(2) + c_(1)x + d_(1) = 0 and a_(2)x^(3) + b_(2)x^(2) + c_(2)x + d_(2) = 0 a pair of repeated roots common, then prove that |{:(3a_(1)", "2b_(1) ", "c_(1)),(3a_(2)", " 2b_(2)", "c_(1)),(a_(2)","b_(1)- a_(1)b_(2)", "c_(2)a_(1)-c_(2)a_(1)", "d_(1)a_(2)-d_(2)a_(1)):}|=0

Consider two lines L_1a n dL_2 given by a_1x+b_1y+c_1=0a n da_2x+b_2y+c_2=0 respectively where c1 and c2 !=0, intersecting at point PdotA line L_3 is drawn through the origin meeting the lines L_1a n dL_2 at Aa n dB , respectively, such that PA=P B . Similarly, one more line L_4 is drawn through the origin meeting the lines L_1a n dL_2 at A_1a n dB_2, respectively, such that P A_1=P B_1dot Obtain the combined equation of lines L_3a n dL_4dot