2017 SSC CGL 12 Aug Shift-1
For the following questions answer them individually
If $$x(2x+3)=90$$ and $$7y^{\frac{-1}{2}}+2y^{\frac{-1}{2}}=y^{\frac{1}{2}}$$ (x and y are positive numbers), then what is the value of $$x^2 + y^2$$ ?
If $$\frac{x}{y}=\frac{4}{9}$$, then what is the value of $$\frac{(7x^2-19xy+11y^2)}{y^2}$$ ?
If $$x^2+ y^2 + z^2 = xy + yz + zx$$, then what is the value of $$\frac{(7x+3y-5z)}{5x}$$ ?
The length of diagonal BD of a parallelogram ABCD is 36 cm. P and Q are the centroids of triangle ABC and triangle ADC respectively. What is the length (in cm) of PQ?
In the given figure, DE$$\parallel$$BC and DE = 1/3 BC. If area of triangle $$ADE = 20 cm^2$$, then what is the area $$(in cm^2)$$ of triangle DEC?Â
If an equilateral triangle has side 12 cm, then what is the difference (in cm) between the circumradius and inradius?
If sum of the areas of the circumcircle and the incircle of an equilateral triangle is $$770 cm^2$$, then what is the area $$(in cm^2)$$ of the triangle?
If θ is acute angle and tanθ - cotθ = 0, then what is the value of $$tan^{26}θ + cot^{100}θ$$ ?
