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I. 2x² - 12 x + 16 = 0 2x² - 8x - 4x + 16 = 0 2 x (x – 4) – 4 ( x – 4 ) (2 x – 4 ) (x – 4) x = 4, 2 II. 4y² - 8 y - 12 = 0 4y² - 12y + 4 y - 12 = 0 4 y (y – 3) + 4 ( y – 3 ) (4y + 4 ) (y – 3) y = - 1, 3 Hence relationship between x and y cannot be established.
In the given figure, the lengths of AC and BF are 16 cm and 5 cm, respectively. The ratio of AE to CE is given as 5:3. Determine the perimeter of triang...
10 identical solid spherical balls of radius 3 cm are melted to form a single sphere. In this process 20% of solid is wasted. What is the radius (in cm...
In ∆ABC, AB = 5cm, BC = 6cm and AC = 10cm then find out the value of cos A?
In a right-angled triangle, the hypotenuse is 25 cm, and one of the sides is 20 cm. Find the radius of the circle inscribed in the triangle.
If O is circumcentre of acute angled triangle ABC, if ∠ BOC = 100˚ then ∠ BAC = ?
At the centre of a circle of 20 cm radius, the angle made by an arc of 24(4/9) cm length is
A conical water tank has a radius of 7 meters and a height of 24 meters. Water is being pumped into the tank at the rate of 20 cubic meters per minute. ...
In a circle, the chord AB is 12 cm, and the perpendicular from the center O to the chord AB bisects it at point P. If OP = 5 cm, what is the radius of t...
A triangular field has sides 13 m, 14 m, and 15 m. A well with a diameter of 7 m is dug outside the field. If the entire soil dug from the well is used ...
A sector of a circle has a central angle of 120°. The radius of the circle is 14 cm. Find the area of the sector.