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Solve the following: |[1, 1,x], [p+1,p+...

Solve the following: `|[1, 1,x], [p+1,p+1,p+x],[3,x+1,x+2]|=0`

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RD SHARMA ENGLISH-DETERMINANTS-All Questions
  1. Solve the following determinant equation: |[x+a, b, c], [c, x+b, a],...

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  2. Solve the following: |[x+1, 3, 5], [2,x+2, 5], [2, 3,x+4]|=0

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  3. Solve the following: |[1, 1,x], [p+1,p+1,p+x],[3,x+1,x+2]|=0

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  4. If a ,b and c are all non-zero and |(1+a,1,1),( 1,1+b,1),(1,1,1+c)|=...

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  5. Find the area of the triangle with vertices A\ (5,\ 4),\ \ B(-2,\ 4...

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  6. Show that pointsA (a , b + c), B (b , c + a), C (c , a + b)are collin...

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  7. If the points (a1, b1),\ \ (a2, b2) and (a1+a2,\ b1+b2) are collinear,...

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  8. If the points (2,\ -3),\ (lambda,\ -1) and (0,\ 4) are collinear, find...

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

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  10. Find the equation of the line joining A(1,\ 3) and B(0,\ 0) using d...

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  11. If A(x1, y1),B(x2, y2)a n dC(x3,y3) are vertices of an equilateral tri...

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  12. A triangle has its three sides equal to a , ba n dc . If the coordinat...

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  13. Find the area of the triangle with vertices at the points: (3, 8), ...

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  14. Find the area of the triangle with vertices at the points: (0, 0), ...

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  15. Using determinants show that the following points are collinear: (1...

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  16. Find dy/dx if y=x^3-x^10

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  17. Prove that the points (a ,\ 0),\ (0,\ b) and (1,\ 1) are colline...

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  18. Using determinants prove that the points (a ,\ b),\ (a^(prime),\ b^...

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  19. Prove that the points (-2,\ 5),\ (0,\ 1) and (2,\ -3) are collin...

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  20. Find the value of x if the area of is 35 square cms with vertices ...

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