If two vertices of a parallelogram are `(3, 2), (-1, 0)` and the diagonals cut at `(2, -5)` , find the other vertices of the parallelogram.
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Area of triangle whose vertices are `(a,a^2),(b,b^2),(c,c^2)` is `1/2` . and area of another triangle whose vertices are `(p,p^2),(q,q^2) and (r,r^2)`
Correct Answer - D `(d)` `|{:((1+ap)^(2),(1+bp)^(2),(1+cp)^(2)),((1+aq)^(2),(1+bq)^(2),(1+cq)^(2)),((1+ar)^(2),(1+br)^(2),(1+cr)^(2)):}|` `=|{:(1,2a,a^(2)),(1,2b,b^(2)),(1,2c,c^(2)):}|xx|{:(1,p,p^(2)),(1,q,q^(2)),(1,r,r^(2)):}|` `=2xx2Delta_(1)*2Delta_(2)` `=8Delta_(1)Delta_(2)=8xx(1)/(2)xx4=16`
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The following table gives the number of sides and the number of diagonals of a polygon. `{:("Number of sides",3,4,5,6,7,8),("Number of diagonals",0,2,
Correct Answer - `d=(n(n-3))/(2)`
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If three consecutive vertices of a parallelogram are `(1, -2), (3, 6)` and `(5, 10)` , find its fourth vertex.
Correct Answer - D(3, 2)
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Each side of a rhombus is 10 cm long and one of its diagonals measures 16 cm. Find the length of the other diagonal and hence find the area of the rho
Correct Answer - 12 cm, 96 `cm^(2)`
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The area of a rhombus is 480 `cm^(2)`, and one of its diagonals measures 48 cm. Find (i) the length of the other diagonal, (ii) the length of each of
Correct Answer - (i) 20 cm (ii) 26 cm (iii) 104 cm
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A bar magnet is cut into two equal parts vertically and half part of bar magnet is kept on the other such that opposite poles align each other.
When bar magnet is cut into two equal parts, then magnetic moment of each part becomes half of the original directed from S to N pole. ∴ Magnetic moment of the combination...
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If the diagonals of a quadrilateral bisect each other then it is a
Correct option is (B) parallelogram If the diagonals of a quadrilateral bisect each other then it is a parallelogram.
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If the diagonals of a quadrilateral bisect each other then it is a
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C) All rhombus are parallelogram D) All trapeziums are parallelogram
Correct option is (D) All trapeziums are parallelogram All rectangles, all squares and all rhombus are parallelogram but all trapeziums are not parallelogram.
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C) All rhombus are parallelogram D) All trapeziums are parallelogram
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