Home
Class 12
MATHS
Consider the system of equations a(1) ...

Consider the system of equations
`a_(1) x + b_(1) y + c_(1) z = 0`
`a_(2) x + b_(2) y + c_(2) z = 0`
`a_(3) x + b_(3) y + c_(3) z = 0`
If `|(a_(1),b_(1),c_(1)),(a_(2),b_(2),c_(2)),(a_(3),b_(3),c_(3))| =0`, then the system has

A

Statement-1 is True, Statemetn-2 is True, Statemetn-2 is a correct explanation for Statement-2

B

Statement-1 is True, Statemetn-2 is True, Statement-2 is NOT a correct explanation for Statement-2

C

Statement-1 is True, Statement-2 is False

D

Statement-1 is False, Statement-2 is True

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise SECTION-F (MATRIX-MATHC TYPE QUESTION)|1 Videos

  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise SECTION-G (INTEGER ANSWER TYPE QUESTIONS)|4 Videos

  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION D) (LINKED COMPREHENSION TYPE QUESTIONS)|12 Videos

  • STATISTICS

    AAKASH INSTITUTE|Exercise Section-C Assertion-Reason|15 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - J|10 Videos

Similar Questions

Explore conceptually related problems

if quad /_=[[a_(1),b_(1),c_(1)a_(2),b_(2),c_(2)a_(3),b_(3),c_(3)]]

if Delta=det[[a_(1),b_(1),c_(1)a_(2),b_(2),c_(2)a_(3),b_(3),c_(3)]]

Cosnsider the system of equation a_(1)x+b_(1)y+c_(1)z=0, a_(2)x+b_(2)y+c_(2)z=0, a_(3)x+b_(3)y+c_(3)z=0 if |{:(a_(1),b_(1),c_(1)),(a_(2),b_(2),c_(2)),(a_(3),b_(3),c_(3)):}|=0 , then the system has

Consider the system of linear equations a_(1)x+b_(1)y+ c_(1)z+d_(1)=0 , a_(2)x+b_(2)y+ c_(2)z+d_(2)= 0 , a_(3)x+b_(3)y +c_(3)z+d_(3)=0 , Let us denote by Delta (a,b,c) the determinant |{:(a_(1),b_(1),c_(1)),(a_(2),b_(2),c_(2)),(a_(3),b_(3),c_(3)):}| , if Delta (a,b,c) # 0, then the value of x in the unique solution of the above equations is

Consider the system of linear equations , a_(1)x+b_(1)y+c_(1)z+d_(1)=0 , a_(2)x+b_(2)y+c_(2)z+d_(2)=0 , a_(3)x+b_(3)y+c_(3)2+d_(3)=0 Let us denote by Delta(a,b,c) the determinant |[a_(1),b_(1),c_(1)],[a_(2),b_(2),c_(2)],[a_(3),b_(2),c_(3)]| if Delta(a,b,c)!=0, then the value of x in the unique solution of the above equations is

Show that |[a_(1),b_(1),-c_(1)],[-a_(2),-b_(2),c_(2)],[a_(3),b_(3),-c_(3)]|=|[a_(1),b_(1),c_(1)],[a_(2),b_(2),c_(2)],[a_(3),b_(3),c_(3)]|

For two linear equations a_(1)x + b_(1)y + c_(1)= 0 and a_(2) x+ b_(2)y+ c_(2)= 0 , then condition (a_(1))/(a_(2)) = (b_(1))/(b_(2))= (c_(1))/(c_(2)) is for

Show that |{:(ma_(1),b_(1),nc_(1)),(ma_(2),b_(2),nc_(2)),(ma_(3),b_(3),nc_(3)):}|=-mn|{:(c_(1),b_(1),a_(1)),(c_(2),b_(2),a_(2)),(c_(3),b_(3),a_(3)):}|