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Statement 1 is True: Statement 2 is True; Statement 2 is a correct explanation for statement 1 Statement 1 is true, Statement 2 is true;2 Statement 2 not a correct explanation for statement 1. Statement 1 is true, statement 2 is false Statement 1 is false, statement 2 is true Statement I: Consider the system of equations `2x+3y+4z=5x+y+z=1x+2y+3z=4` This system of equations has infinite solutions. because Statement II: If the system of equation is `e_1: a_1x+b_1y+c_1-d_1=0` `e_2: a_2x+b_2y+c_2z-d_2=` `e_3: e_1+lambdae_2=0,\ w h e r e\ lambda\ R\ &(a_1)/(a_2)!=(b_1)/(b_2)` Then such system of equations has infinite solutions. a.`A` b. `\ B` c.`\ C` d. `D`

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ALLEN-DETERMINANTS-All Questions
  1. Let p be the sum of all possible determinabnts of order 2 having 0,...

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  2. Find A for 2sinAcosA−cosA−2sinA+1=0 ;-

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  3. Statement 1 is True: Statement 2 is True; Statement 2 is a correct ...

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  4. Statement I: If a ,\ \ b , c in R\ a n d a!=b!=c\ a n d\ x ,\ y ,\ z ...

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  5. Comprehension 1 Let x ,\ y ,\ z in R^+&\ D=|xx^3x^4-1y y^3y^4-1...

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  6. If A is an invertble matrix of order 2 then (det A ^-1) is equal to...

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  7. Comprehension 1 Let x ,\ y ,\ z in R^+&\ D=|xx^3x^4-1y y^3y^4-1...

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  8. consider the following system of equation alphax+y+z=m x=alphay+z=...

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  9. Comprehension 2 Consider the system of linear equations alphax+y...

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  10. Comprehension 2 Consider the system of linear equations alphax+y...

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  11. For what values of p and q, the system of equations 2x+py+6z=8,x+2y+qz...

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  12. The system of equations x+2y+3z=4 , 2x+3y+4z=5, 3x+4y+5z=6 h...

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  13. Comprehension 3 x+y+3z=4 2x+p y+6z=8x+2y+q z=5 Values of p\ &\ q f...

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  14. Without expanding the determinant prove that: |(0, p-q, p-r), (q-p,0, ...

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  15. Evaluate ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ ​ x y x+y ​ y x+y x ​ x+y x y ​ ...

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  16. Let delta=|A x x^2 1 B y y^2 1 C z z^2 1|a n d1=|A B C x y z y z z xx ...

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  17. Prove that: |1a a^2-b c1bb^2-c a1cc^2-a b|=0

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  18. Prove that: |a^2+2a2a+1 1 2a+1a+2 1 3 3 1|=(a-1)^3 .

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  19. Using properties of determinants, evaluate |[18, 40 ,89],[ 40 ,89, 198...

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  20. Find the area of the triangle with vertices at the points: (-1 ,-8 ), ...

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