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I. 8y² - 6y – 9 = 0 8y² + 12 y - 6y – 9 = 0 4 y(2 y + 3) - 3 (2y+3)= 0 (4 y – 3) (2 y + 3) = 0 ∴ y = -3/2, 3/4 II. 6 x² - x – 12 = 0 6 x² - 9x + 8 x – 12 = 0 3 x (2 x – 3) + 4(2 x – 3) = 0 (2 x – 3) (3 x + 4) = 0 (2 x – 3) (3 x + 4) = 0 ∴ x = 3/2, -4/3 Hence, relationship cannot be established between x and y
Lateral surface area of a cube is 420 cm2 less than the lateral surface area of a cylinder. Height of cylinder is 2R cm and radius is R cm. I...
One side of a parallelogram is 25 cm and its distance from the opposite side is 9 cm. The area of the parallelogram is:
If the length of a rectangle is increased by 30% and its breadth is decreased by 20%, then the area of the rectangle will be increased or decreased by h...
An equilateral triangle ABC is inscribed in a circle with centre O. D is a point on the minor are BC and ∠ CBD = 40°. Find the measure of ∠ ...
A maximum size sphere is cut from a hemisphere of radius r. Find the ratio of volume of hemisphere to sphere?
A racetrack is in the shape of a rectangle with length of 45 meters and area of 6030 m 2 . A car takes 16 seconds to make one lap around the ...
The cost of fencing a rectangular plot at the rate of Rs. 12/metre is Rs. 960. If the ratio of the length to breadth is 5:3, find the area of the rectan...
Curved surface area of cylinder is 1617 cm2. If ratio of radius to height of the cylinder is 25:21 respectively, then find the base area of t...
The volume of a sphere is 2304π cm3. Find the surface area of the given sphere.
In a right angles trainagle, one acute angle is double the other. If the length of its hypotenuse is 20 cm, the find its area?