Q.11666·Miscellaneous·2014·EasyConsider the following statements: 1.tan⁻¹ 1 + tan⁻¹ (0.5) = π/2 2.sin⁻¹ (1/3) + cos⁻¹ (1/3) = π/2 Which of the above statements is/are correct?View question
Q.11667·Miscellaneous·2014·EasyConsider the following statements: 1.sin|x| + cos|x| is always positive. 2.sin(x²) + cos(x²) is always positive. Which of the above statements is/are correct?View question
Q.11668·Miscellaneous·2014·EasyConsider the following statements: 1.There exists no triangle ABC for which sin A + sin B = sin C. 2.If the angles of a triangle are in the ratio 1 : 2 : 3, then its sides will be in the ratio 1 : √3 : 2. Which of the above statements is/are correct?View question
Q.11669·Miscellaneous·2014·EasyFrom an aeroplane above a straight road the angles of depression of two positions at a distance 20 m apart on the road are observed to be 30° and 45°. The height of the aeroplane above the ground is:View question
Q.11670·Miscellaneous·2014·EasyIn optical instruments, the lenses are used to form image by the phenomenon ofView question
Q.11671·Miscellaneous·2014·EasyConsider the following statements: 1.If 3θ is an acute angle such that sin 3θ = cos 2θ, then the measurement of θ in radian equals to π/10. 2.One radian is the angle subtended at the centre of a circle by an arc of the same circle whose length is equal to the diameter of that circle. Which of the above statements is/are correct?View question
Q.11672·Miscellaneous·2014·EasyConsider the following statements: 1. n( sin^ 2 1/2 67° - sin^2 1/2 22°) > 1 for all positive integers n ≥ 2. 2.If x is any positive real number, then nx > 1 for all positive integers n ≥ 2. Which of the above statements is/are correct?View question
Q.11674·Miscellaneous·2014·EasyWhich one among the following is not a sexually transmitted disease?View question
Q.11675·Miscellaneous·2014·EasyTaungup Pass is a mountain corridor connecting India withView question
Q.11676·Miscellaneous·2014·EasyThe number 251 in decimal system is expressed in binary system by:View question
Q.11677·Miscellaneous·2014·EasyStatement I: The Kullu Valley in Himachal Pradesh receives copious snowfall during winter. Statement II: The Kullu Valley receives moisture-bearing wind of the Western Disturbances during winter.View question
Q.11678·Miscellaneous·2014·EasyStatement I: The decrease of air temperature with increasing altitudes in the atmosphere is called the vertical temperature gradient. Statement II: In Troposphere, air temperature decreases with increasing altitude due to radiation from the Earth.View question
Q.11679·Miscellaneous·2014·EasyStatement I: The hills with dense vegetation cover do not experience heavy soil erosion. Statement II: The vegetation cover helps infiltration of rainwater and binding of soils.View question
Q.11680·Miscellaneous·2014·EasyStatement I: Minerals are formed by slow cooling of the magma. Statement II: Very small crystals are formed when lava cools quickly on the surface.View question
Q.11681·Miscellaneous·2014·EasyOne of the roots of the determinant equation: | x+a b c | | a x+b c | | a b x+c | = 0View question
Q.11682·Miscellaneous·2014·EasyConsider two matrices: Matrix A = 1 2 2 1 Matrix B = 1 2 -4 2 1 -4 Which one of the following is correct?View question