Please select a subject first
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ΔABC is a right angled isosceles triangle with ∠B = 90°. If D is a point on AB, ∠CDB = 15° and AD = 35 cm, then CD is equal to ______.
Concept: undefined >> undefined
If sin A + sin B = C, cos A + cos B = D, then the value of sin(A + B) = ______.
Concept: undefined >> undefined
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The mean of a set of observation is `overlinex`. If each observation is divided by α, α ≠ 0 and then is increased by 10, then the mean of the new set is ______.
Concept: undefined >> undefined
A rod AB of length 16 cm. rests between the wall AD and a smooth peg, 1 cm from the wall and makes an angle θ with the horizontal. The value of θ for which the height of G, the midpoint of the rod above the peg is minimum, is ______.
Concept: undefined >> undefined
If A + B + C = π and sin C + sin A cos B = 0, then tan A . cot B is equal to ______.
Concept: undefined >> undefined
If x + y + z = 180°, then cos 2x + cos 2y – cos 2z is equal to ______.
Concept: undefined >> undefined
If A + B + C = π(A, B, C > 0) and the ∠C is obtuse, then ______.
Concept: undefined >> undefined
If a ΔABC, the value of sin A + sin B + sin C is ______.
Concept: undefined >> undefined
If A + B + C = 270°, then cos 2A + cos 2B + cos 2C + 4 sin A sin B sin C is equal to ______.
Concept: undefined >> undefined
If A, B, C are the angles of a triangle, then sin2 A + sin2 B + sin2 C – 2 cos A cos B cos C is equal to ______.
Concept: undefined >> undefined
If A + B = C = 180°, then the value of `cot A/2 + cot B/2 + cot C/2` will be ______.
Concept: undefined >> undefined
In any ΔABC, if tan A + tan B + tan C = 6 and tan A tan B = 2, then the values of tan A, tan B and tan C are ______.
Concept: undefined >> undefined
If A + B + C = 180°, then `(sin 2A + sin 2B + sin 2C)/(cos A + cos B + cos C - 1)` is equal to ______.
Concept: undefined >> undefined
If cos A = cos B cos C and A + B + C = π, then the value of cot B cot C is ______.
Concept: undefined >> undefined
lf A + B + C = π, then `cosA/(sinBsinC) + cosB/(sinCsinA) + cosC/(sinAsinB)` is equal to ______.
Concept: undefined >> undefined
The value of cot A cot B + cot B cot C + cot C cot A is ______.
Concept: undefined >> undefined
The value of `tan A/2 tan B/2 + tan B/2 tan C/2 + tan C/2 tan A/2` is ______.
Concept: undefined >> undefined
If A, B, C are three points in argand plane representing the complex numbers z1, z2 and z3 such that, z1 = `(λz_2 + z_3)/(λ + 1)`, where λ ∈ R, then find the distance of point A from the line joining points B and C.
Concept: undefined >> undefined
A straight line is drawn through the point P(3, 4) meeting the positive direction of coordinate axes at the points A and B. If O is the origin, then minimum area of ΔOAB is equal to ______.
Concept: undefined >> undefined
The value of `dy/dx` at x = `π/2`, where y is given by y = `x^sinx + sqrt(x)`, is ______.
Concept: undefined >> undefined
