In ΔABC, AC = BC and ∠ABC = 50°, the side BC is produced to D so that BC = CD then the value of ∠BAD is

PQ is a tangent to the circle at T. If TR = TS where R and S are points on the circle and ∠RST = 65°, the ∠PTS =

In an equilateral triangle ABC, G is the centroid. Each side of the triangle is 6 cm. The length of AG is

If 2r = h + r2+h2, then the ratio of r:h is

If x = 1 + √2 + √3 , then the value of 2x4 - 8x3 - 5x2 + 26x - 28 is

If x + 1x = 3, then x18 + x12 + x6 + 1 value is

If a = 299, b = 298, c = 297 then the value of 2a3 + 2b3 + 2c3 - 6abc is

If x2 + y2 + 6x + 5 = 4(x - y) then x - y is