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The sum of the digits of a natural number (10ⁿ -1) is 369, where n is a natural number. value of n

From the top of a tower of height h, angles of depression of two points, which are in line with the

Find the values of a and b, if the symbols have their usual meanings.(A) a=3 b=2(B) a=9 b=6(C) a=3

The set of real values of x satisfying | x - 1 | ≤ 3 and | x- 1 | ≥ 1 is

In the given figure, RST is the tangent to the circle with centre O, at S. AOS is a straight line

In the figure, CDE is a straight line and A,B,C&D are points on the circle. ∠BCD=44°,find the value

Two isolated spherical conductors have radii 5 cm and 10 cm respectively. They have charge of 12 μC

Given the equation→Angular Momentum=(αβ − γ/time)×velocity which of the following are possible dimen

The dimension of 1/µ₀∈₀ where µ₀ represents vacuum permeability and ∈₀ represents vacuum permittivi

Planck's constant has the dimension of: (a) Energy (b) Momentum (c) Frequency (d) Angular momentum

If force(F), acceleration(A), Time(T) are used as fundamental units, the dimensional formula for len

Solve: log(cot1) + log(cot2) +......+log(cot89)

if cot 15° = m , then find ( cot 165 + cot 345 ) / ( tan 15 - cot 105 )

If ABCD is a cyclic quadrilateral, then find the value of cosAcosB - cosCcosD.

If sin θ and cos θ are the roots of the equation mx² + nx + 1 =0, then find the relation between m&n

Find the 7th term of G.P. whose first term is 6 and common ratio is 2/3.

Divide 124 into four parts in such a way that they are in A.P. and the product of first and the 4th

Find the three terms in A.P. , whose sum is 36 and product is 960.

solve: [ 1 / ( x - 1 ) ] is less then [ -2 / ( 1 - 2x) ]

Find the first term and the common difference of an A.P. if the 3rd term is 6 & the 17th term is 34

solve for x: x² - 4x + 3 ≥ 0

If | x | is less than 1, then find the sum of the series 2 + 4x + 6x² + 8x³ +........

The mass of the earth is 6 × 10²⁴ kg and its radius is 6400 km. Find the acceleration due to gravity

A block of 2 kg mass dropped from a height of 2.1 m, falls on a spring of length 10 cm placed vertic