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Find the value of 'a' for which x+3x+a24 is a perfect square.
What is the value of 2 consecutive natural numbers, sum of whose squares is 145?
In the given figure, the angle bisectors of B and C of an isosceles triangle intersect at point O. Find the angle BOC (in degree), when ∠ABC = ∠ACB = 75°.
What is the equation of the line passing through the point (0,4) and making an angle of 45° with the positive xaxis?
The ratio of marks obtained by a student was 1:2:3. The school decided to allow grace marks of 5% for each subject. Find the student's new ratio.
If four angles of a quadrilateral are (6x-18), (80-4x), (4x+14), (12x-58), then find the value of the smallest angle of the quadrilateral.
The lengths of two diagonals of a rhombus are 24 cm and 32 cm. What is the side (in cm) of the rhombus?
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