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Without expanding, prove that |(6,2,3)...

Without expanding, prove that
`|(6,2,3),(9,3,5),(12,4,7) = 0`

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PRADEEP PUBLICATION-DETERMINANTS-EXERCISE
  1. Evaluate the following determinant|(2,-1,0,1),(-3,0,1,-2),(1,1,-1,1),(...

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  2. Evaluate the determinant |(1^2, 2^2, 3^2,4^2),(2^2,3^2,4^2,5^2),(3^2,4...

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  3. Without expanding, prove that |(6,2,3),(9,3,5),(12,4,7) = 0

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  4. Use properties of determinants ot evaluate: {:|(x+y,y+z,z+x),(z,x,y)...

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  5. Evaluate the following determinants: |(0,c,b),(c,0,a),(-b,-a,0)|

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  6. By using determinants, find the area of the triangle whose vertices ar...

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  7. By using determinants, find the area of the triangle whose vertices ar...

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  8. Find the area of the triangle whose vertices are (-2, -3), (3, 2) and ...

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  9. By using determinants, find the area of the triangle whose vertices ar...

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  10. By using determinants, find the area of the triangle whose vertices ar...

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  11. Find the value of 'x' if the area of triangle is 35 square cm. With ve...

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  12. With the help of determinants, prove that the following points are col...

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  13. With the help of determinants, prove that the following points are col...

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  14. With the help of determinants, prove that the following points are col...

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  15. Find k so that the points (3,-2), (k,2), (8,8) are collinear.

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  16. Find k if the points (2,-3), (k , 1) and (0,4) are collinear.

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  17. If the points (x,y),(a,0) and (0,b) are collinear, prove that x/a + y/...

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  18. Prove that the points (a ,\ 0),\ (0,\ b) and (1,\ 1) are collinear...

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  19. If the points (x1,y1), (x2,y2) and (x1 + x2, y1+y2) are collinear, pro...

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  20. Find p if the points (p+1,1), (2p + 1,3) and (2p + 2, 2p) are collinea...

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