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I. 63x² + 146x + 80 = 0 63x² + 90x + 56x + 80 = 0 9x(7x + 10) + 8(7x + 10) = 0 (9x + 8) (7x + 10) = 0 ∴ x = (-8)/9, (-10)/7 II. 42y² + 109y + 70 = 0 42y² + 60y + 49y + 70 = 0 6y(7y + 10) + 7(7y + 10) = 0 (6y + 7) (7y + 10) = 0 ∴ y = (-7)/6, (-10)/7 Hence, relationship cannot be established between x and y
If the area of a rhombus is 18954 m² and the ratio of the diagonals is 27: 39, then find the length of the shorter diagonal.
The length of the rectangle is triple its breadth. If the perimeter of the rectangle is 64 m, then find the area (in m2) of the rectangle.
If the area of a square field is 256 m2, then find the diagonal of the square field.
Three circle of diameter 14 cm each, are bound together by a rubber band, as shown in the figure. The length of the rubber band, in cm, if it is stretch...
The ratio of length to breadth of a rectangle is 5:4, respectively. Perimeter of rectangle is 108 cm. If each side of a square is 25% more than the brea...
Perimeter of a square shaped plot is 160 metres and the area of a rectangular plot is 40% more than that of the square shaped plot. Find the area (in m<...
The dimensions of a rectangular field are given as follows: the length is (x + 4) cm and the breadth is (x – 2) cm. It costs Rs. 8 per square centimet...
Length and breadth of a rectangular field is (x + 6) cm and (x – 3) cm, respectively. If the cost of ploughing the field at a rate of Rs. 10 per cm² ...
The lateral surface area of a cube is 1024 cm2 . The length of a cuboid is 50% more than the side of the cube. The breadth of the cuboid is 1...
tan(θ -14π) is equal to:
