For the following questions answer them individually
The length of the shadow of a tower is 9 metres when the sun’s altitude is 30°. What is the height of the tower ?
$$(\frac{1}{2}(a-b))^2+ab=p(a+b)^2$$ then the value of p is (assume that a ≠- b)
If 999x + 888y = 1332 and 888x + 999y = 555, then $$x^{2} - y^{2}$$ Is equal to
In two similar triangles ABC and MNP, if AB = 2.25 cm, MP = 4.5 cm and PN = 7.5 cm and m ∠ACB = m ∠MNP and m ∠ABC = m ∠MPN, then the length of side BC , in cm, is
Given an equilateral Δ ABC, D, E and F are the mid-points of AB, BC and AC respectively. Then the quadrilateral BEFD is exactly a :
If ABCD is a cyclic parallelogram, then the LA is
AC is a chord of circle whose centre is at 0. If B is any point on the arc AC and ∠OCA = 20°, then the magnitude of ∠ABC is
The co-ordinates of the vertices of a right-angled triangle are P (3, 4), QA(7, 4) and R (3, 8), the right-angle being at P. The co-ordinates of the orthocentre of APQR are
The value of (sec θ + cosec θ) when θ = 45°, is
$$\frac{\tan^{2}\theta}{\sec\theta+1}-sec\theta$$ is equal to
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