Home
Class 12
MATHS
If |(a,y,z),(x,b,z),(x,y,c)|=0, then pro...

If `|(a,y,z),(x,b,z),(x,y,c)|=0`, then prove that `(a)/(a-x)+(b)/(b-y)+(c)/(c-z)=2`

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MATRICES AND DETERMINANTS

    CBSE COMPLEMENTARY MATERIAL|Exercise SIX MARK QUESTIONS|20 Videos

  • MATRICES AND DETERMINANTS

    CBSE COMPLEMENTARY MATERIAL|Exercise TWO MARK QUESTIONS|18 Videos

  • LINEAR PROGRAMMING

    CBSE COMPLEMENTARY MATERIAL|Exercise ONE MARKS QUESTIONS|8 Videos

  • PRACTICE PAPER I

    CBSE COMPLEMENTARY MATERIAL|Exercise Section D|6 Videos

Similar Questions

Explore conceptually related problems

a^(x)=b^(y)=c^(z) and b^(2)=ac then prove that (1)/(x)+(1)/(z)=(2)/(y)

If a(y+z)=b(z+x)=c(x+y) then show that (a-b)/(x^(2)-y^(2))=(b-c)/(y^(2)-z^(2))=(c-a)/(z^(2)-x^(2))]

Knowledge Check

  • If x^(a)=y,y^(b)=z,z^(c)=x then, abc =

    A
    xyz
    B
    `2`
    C
    `1`
    D
    `0`

  • If a ^(2) = b y + cz , b^(2) = cz + ax, c^(2) = ax + by then the value of (x)/( a + x) + (y)/( b + y) + (z)/( c + z) is

    A
    1
    B
    a + b + c
    C
    `(1)/(a)+ (1)/( b) + (1)/( c)`
    D
    0

    • Similar Questions

    Explore conceptually related problems

    If y^(2)=xz and a^(x)=b^(y)=c^(z), then prove that (log)_(a)b=(log)_(b)c

    If x=b-c+a, y=c-a+b, z=a-b+c , then prove that (b-a) x + (c-b)y +(a-c)z=0

    a(y+z)=x,b(z+x)=y,c(x+y)=z prove that (x^(2))/(a(1-bc))=(y^(2))/(b(1-ca))=(z^(2))/(c(1-ab))

    if a,b,c are in G.P. and a^(x)=b^(y)=c^(z) prove that (1)/(x)+(1)/(z)=(2)/(y)

    If a^(x)=b,b^(y)=c and c^(z)=a, prove that xyz=1

    If (a)/(x-a) + (b)/(y-b) + (c )/(z-c)=2 find (x)/(x-a) + (y)/(y-b) + (z)/(z-c) = ?

    Home
    Profile