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2x^2-3x+4,\ 2-x+x^2,\ 2y^2-3/2y+1/4 are ...

`2x^2-3x+4,\ 2-x+x^2,\ 2y^2-3/2y+1/4` are quadratic polynomials.

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x^3-7x^2+2x-3,\ 2+1/2y-3/2y^2+4y^3 are cubic polynomials True/False ?.

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The locus of the image of the point (2,3) in the line (x-2y+3)+lambda(2x-3y+4)=0 is (lambda in R) (a) x^2+y^2-3x-4y-4=0 (b) 2x^2+3y^2+2x+4y-7=0 (c) x^2+y^2-2x-4y+4=0 (d) none of these

The equation of the circle passing through the point of intersection of the circles x^2+y^2-4x-2y=8 and x^2+y^2-2x-4y=8 and the point (-1,4) is (a) x^2+y^2+4x+4y-8=0 (b) x^2+y^2-3x+4y+8=0 (c) x^2+y^2+x+y=0 (d) x^2+y^2-3x-3y-8=0

The equation of the circle passing through the point of intersection of the circles x^2+y^2-4x-2y=8 and x^2+y^2-2x-4y=8 and the point (-1,4) is x^2+y^2+4x+4y-8=0 x^2+y^2-3x+4y+8=0 x^2+y^2+x+y=0 x^2+y^2-3x-3y-8=0

The equation of the circle passing through the point of intersection of the circles x^2+y^2-4x-2y=8 and x^2+y^2-2x-4y=8 and the point (-1,4) is x^2+y^2+4x+4y-8=0 x^2+y^2-3x+4y+8=0 x^2+y^2+x+y=0 x^2+y^2-3x-3y-8=0

RD SHARMA ENGLISH-DIVISION OF ALGEBRAIC EXPRESSIONS-All Questions
  1. determine the degree (1)3x^4-2x^3y^3+7xy^3-3x^2y^2/4

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  2. 2-3/4x ,1/2+3/5y ,2+3a etc. are linear polynomials True/False ?.

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  3. 2x^2-3x+4,\ 2-x+x^2,\ 2y^2-3/2y+1/4 are quadratic polynomials.

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  4. x^3-7x^2+2x-3,\ 2+1/2y-3/2y^2+4y^3 are cubic polynomials True/False ?.

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  5. 3x^4-7x^3+x^2-x+9,4-2x^2/3+3x^4/5 are biquadratic polynomial

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  6. Write the degree of each of the following polynomials : 2x^2+5x^2-...

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  7. Write the degree of each of the following polynomials : 1/2y^7-12 ...

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  8. Which of the following expressions are not polynomials? x^2+2x^(-2)...

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  9. Write each of the following polynomials in the standard form. Also w...

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  10. Divide 12 x^3y^3b y\ 3x^2y (ii) -15 a^2b c^3\ b y\ \ 3a b

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  11. Divide: 25 x^3y^2\ by-15 x^2y (ii) -72 x^2y z\ by-12 x y z

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  12. Divide: 6x^3y^2z^2\ \ by\ \ 3x^2y z (2) 15 m^2n^(3\ ) by\ 5m^2n^2 ...

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  13. Simplify: (16 m^3y^2)/(4m^2y) (2) (32 m^2n^3p^2)/(4m n p)

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  14. Divide: 9m^5+12 m^4-6m^2\ \ by\ \ 3m^2 (2)24 x^3y+20 x^2y^2-4x y\ ...

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  15. Divide: 6x^4y z-3x y^3z+8x^2y z^2y z^4\ \ by\ \ 2x y z 2/3a^2b^2c^2...

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  16. Divide: (i)x+2x^2+3x^4-x^5\ by 2x, (ii) y^4-3y^3+1/2y^2\ by 3y

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  17. Divide: -4a^3+4a^2+a\ \ by 2a

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  18. Divide: 5z^3-6z^2+7z\ \ by 2z (ii)sqrt(3)\ a^4+\ 2sqrt(3)\ a^3+3a^2-...

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  19. Divide : 6+x-4x^2+x^3\ by\ \ x-3.

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  20. Divide: the polynomial 2x^4+8x^3+7x^2+4x+3\ \ by\ \ x+3.

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