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Answer the following question:
Evaluate `|(101, 102, 103),(106, 107, 108),(1, 2, 3)|` by using properties
Concept: undefined >> undefined
Answer the following question:
By using properties of determinant prove that `|(x + y, y + z, z + x),(z, x, y),(1, 1, 1)|` = 0
Concept: undefined >> undefined
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Answer the following question:
Without expanding determinant show that
`|("b" + "c", "bc", "b"^2"c"^2),("c" + "a", "ca", "c"^2"a"^2),("a" + "b", "ab", "a"^2"b"^2)|` = 0
Concept: undefined >> undefined
Answer the following question:
Without expanding determinant show that
`|(x"a", y"b", z"c"),("a"^2, "b"^2, "c"^2),(1, 1, 1)| = |(x, y, z),("a", "b", "c"),("bc", "ca", "ab")|`
Concept: undefined >> undefined
Answer the following question:
Without expanding determinant show that
`|(l, "m", "n"),("e", "d", "f"),("u", "v", "w")| = |("n", "f", "w"),(l, "e", "u"),("m", "d", "v")|`
Concept: undefined >> undefined
Answer the following question:
Without expanding determinant show that
`|(0, "a", "b"),(-"a", 0, "c"),(-"b", -"c", 0)|` = 0
Concept: undefined >> undefined
Answer the following question:
If `|("a", 1, 1),(1, "b", 1),(1, 1, "c")|` = 0 then show that `1/(1 - "a") + 1/(1 - "b") + 1/(1 - "c")` = 1
Concept: undefined >> undefined
Write the equation of the line :
parallel to the X−axis and at a distance of 5 unit form it and above it
Concept: undefined >> undefined
Write the equation of the line :
parallel to the Y−axis and at a distance of 5 unit form it and to the left of it
Concept: undefined >> undefined
Write the equation of the line :
parallel to the X-axis and at a distance of 4 unit form the point (−2, 3)
Concept: undefined >> undefined
Obtain the equation of the line :
parallel to the X−axis and making an intercept of 3 unit on the Y−axis
Concept: undefined >> undefined
Obtain the equation of the line :
parallel to the Y−axis and making an intercept of 4 unit on the X−axis
Concept: undefined >> undefined
Obtain the equation of the line containing the point :
A(2, – 3) and parallel to the Y−axis
Concept: undefined >> undefined
Obtain the equation of the line containing the point :
B(4, –3) and parallel to the X-axis
Concept: undefined >> undefined
Find the equation of the line passing through the points A(2, 0), and B(3, 4)
Concept: undefined >> undefined
Find the equation of the line passing through the points P(2, 1) and Q(2, –1)
Concept: undefined >> undefined
Find the equation of the line containing the origin and having inclination 60°
Concept: undefined >> undefined
Find the equation of the line passing through the origin and parallel to AB, where A is (2, 4) and B is (1, 7)
Concept: undefined >> undefined
Find the equation of the line having slope `1/2` and containing the point (3, −2).
Concept: undefined >> undefined
Find the equation of the line containing point A(3, 5) and having slope `2/3`.
Concept: undefined >> undefined
