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Add the following polynomials and find the degree of the resultant polynomial
h(x) = 7x3 – 6x + 1, f(x) = 7x2 + 17x – 9
Concept: undefined >> undefined
Add the following polynomials and find the degree of the resultant polynomial
f(x) = 16x4 – 5x2 + 9, g(x) = −6x3 + 7x – 15
Concept: undefined >> undefined
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What should be added to 2x3 + 6x2 – 5x + 8 to get 3x3 – 2x2 + 6x + 15?
Concept: undefined >> undefined
The cost of a chocolate is Rs. (x + y) and Amir bought (x + y) chocolates. Find the total amount paid by him in terms of x and y. If x = 10, y = 5 find the amount paid by him
Concept: undefined >> undefined
Find the centroid of the triangle whose vertices are (2, −4), (−3, −7) and (7, 2)
Concept: undefined >> undefined
Find the centroid of the triangle whose vertices are (−5, −5), (1, −4) and (−4, −2)
Concept: undefined >> undefined
If the centroid of a triangle is at (4, −2) and two of its vertices are (3, −2) and (5, 2) then find the third vertex of the triangle
Concept: undefined >> undefined
Find the length of median through A of a triangle whose vertices are A(−1, 3), B(1, −1) and C(5, 1)
Concept: undefined >> undefined
The vertices of a triangle are (1, 2), (h, −3) and (−4, k). If the centroid of the triangle is at the point (5, −1) then find the value of `sqrt(("h" + "k")^2 + ("h" + 3"k")^2`
Concept: undefined >> undefined
Orthocentre and centroid of a triangle are A(−3, 5) and B(3, 3) respectively. If C is the circumcentre and AC is the diameter of this circle, then find the radius of the circle
Concept: undefined >> undefined
ABC is a triangle whose vertices are A(3, 4), B(−2, −1) and C(5, 3). If G is the centroid and BDCG is a parallelogram then find the coordinates of the vertex D.
Concept: undefined >> undefined
If `(3/2, 5), (7, (-9)/2)` and `(13/2, (-13)/2)` are mid-points of the sides of a triangle, then find the centroid of the triangle
Concept: undefined >> undefined
Find the volume of a cube whose side is 5 cm
Concept: undefined >> undefined
Find the volume of a cube whose side is 3.5 m
Concept: undefined >> undefined
Find the volume of a cube whose side is 21 cm
Concept: undefined >> undefined
A cubical milk tank can hold 125000 litres of milk. Find the length of its side in metres
Concept: undefined >> undefined
The capacity of a water tank of dimensions 10 m × 5 m × 1.5 m is
Concept: undefined >> undefined
Represent the following irrational number on the number line
`sqrt(3)`
Concept: undefined >> undefined
Represent the following irrational number on the number line
`sqrt(4.7)`
Concept: undefined >> undefined
Represent the following irrational number on the number line
`sqrt(6.5)`
Concept: undefined >> undefined
