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Coordinate Geometry

Question

What are the possible expressions for the dimensions of the cuboids whose volumes are given below?

$box enclose bold Volume bold space bold colon bold space bold 12 bold ky to the power of bold 2 bold plus bold 8 bold ky bold minus bold 20 bold k end enclose$

Solution

12ky² + 8ky - 20k
= 4k(3y² + 2y - 5)
= 4k(3y² + 5y - 3y - 5)
= 4k{y(3y + 5) - 1(3y +5)}
= 4k(3y + 5)(y - 1)
∴ The possible expressions for the dimensions of the cuboid are 4k, 3y + 5 and y - 1.

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Coordinate Geometry

What are the possible expressions for the dimensions of the cuboids whose volumes are given below?

$box enclose bold Volume bold space bold colon bold space bold 12 bold ky to the power of bold 2 bold plus bold 8 bold ky bold minus bold 20 bold k end enclose$

Some More Questions From Coordinate Geometry Chapter

Find the value of n, given (81)^5/n = 243.

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.

4x² - 3x + 7

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NCERT Sample Papers

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For Daily Free Study Material Join wiredfaculty

Coordinate Geometry

What are the possible expressions for the dimensions of the cuboids whose volumes are given below?

Some More Questions From Coordinate Geometry Chapter

Find the value of n, given (81)5/n = 243.

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.4x2 - 3x + 7

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

What are the possible expressions for the dimensions of the cuboids whose volumes are given below?

$box enclose bold Volume bold space bold colon bold space bold 12 bold ky to the power of bold 2 bold plus bold 8 bold ky bold minus bold 20 bold k end enclose$

Find the value of n, given (81)^5/n = 243.

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.

4x² - 3x + 7