List of practice Questions

The force that is naturally present in the environment is:
Which color has the minimum frequency in the visible spectrum?
What physical quantity is associated with the change in wavelength of a wave?
Which type of reflection is produced when light reflects from curved and smooth surfaces?
A particle is moving with uniform speed in a circular path. What will be the acceleration of the particle?
Kilowatt-hour is the unit of:
Which of the following is the SI unit of electric current?
A 75 kg person lifts a 25 kg object to a height of 10 meters in 5 minutes. What is the power used?
The emissivity of a substance is:
Newton's second law gives the measure of which physical quantity?
If the electric field and the magnetic field are equal in magnitude and perpendicular to each other, then:
Define the functions \( f, g \) and \( h \) from \( \mathbb{R} \) to \( \mathbb{R} \) such that: \[ f(x) = x^2 - 1, \quad g(x) = \sqrt{x^2 + 1} \]
functions f,g and h from R to R
Consider the following statements:

Choose the correct combinations based on their Taxonomical features

Stem tubes, Corn, Rhizome, Cladophyll, Bulbil, Stolon modifications shown by this correct sequence of plants
Pyriform gametes with two laterally attached flagella are found in

A line \( L \) passing through the point \( (2,0) \) makes an angle \( 60^\circ \) with the line \( 2x - y + 3 = 0 \). If \( L \) makes an acute angle with the positive X-axis in the anticlockwise direction, then the Y-intercept of the line \( L \) is? 

If the slope of one line of the pair of lines \( 2x^2 + hxy + 6y^2 = 0 \) is thrice the slope of the other line, then \( h \) = ? 

If the equation of the pair of straight lines passing through the point \( (1, 1) \) and perpendicular to the pair of lines \( 3x^2 + 11xy - 4y^2 = 0 \) is \( ax^2 + 2hxy + by^2 + 2gx + 2fy + 12 = 0 \), then find \( 2(a + h - b - g + f - 12) = ? \)

Equation of the circle having its centre on the line \( 2x + y + 3 = 0 \) and having the lines \( 3x + 4y - 18 = 0 \) and \( 3x + 4y + 2 = 0 \) as tangents is: 

The efficiency of a Carnot cycle is \( \frac{1}{6} \). By lowering the temperature of the sink by 65 K, it increases to \( \frac{1}{3} \). The initial and final temperature of the sink are:

If power of a point \( (4,2) \) with respect to the circle \( x^2 + y^2 - 2x + 6y + a^2 - 16 = 0 \) is 9, then the sum of the lengths of all possible intercepts made by such circles on the coordinate axes is 

Let \( a \) be an integer multiple of 8. If \( S \) is the set of all possible values of \( a \) such that the line \( 6x + 8y + a = 0 \) intersects the circle \( x^2 + y^2 - 4x - 6y + 9 = 0 \) at two distinct points, then the number of elements in \( S \) is: 

If the circles \( x^2 + y^2 - 8x - 8y + 28 = 0 \) and \( x^2 + y^2 - 8x - 6y + 25 - a^2 = 0 \) have only one common tangent, then \( a \) is: 

If the equation of the circle passing through the points of intersection of the circles \[ x^2 - 2x + y^2 - 4y - 4 = 0, \quad x^2 + y^2 + 4y - 4 = 0 \] and the point \( (3,3) \) is given by \[ x^2 + y^2 + \alpha x + \beta y + \gamma = 0, \] then \( 3(\alpha + \beta + \gamma) \) is: 

A common tangent to the circle \( x^2 + y^2 = 9 \) and the parabola \( y^2 = 8x \) is