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Plot the following points on a cartesian plane . a(3,4) b ( 5. -1) c ( -3. 0 ) d ( 4, -2)

a cartesian plane is a two-dimensional coordinate plane, which is formed by the intersection of two lines called the x-axis and y-axis. In... View Article

In figure lines XY and MN intersect at O. If ∠POY = 90° and a : b = 2 : 3, find c.

We know that the sum of linear pair is always equal to 180° So, ∠POY +a +b = 180° Putting the value of ∠POY =... View Article

Let A = {a, b, c, d, e} and B = {a, b, c, d, e, f, g, h}. Find A ∪ B.

The union of two sets X and Y is equal to the set of elements that are present in set X, in set Y, or in both the sets X and Y. This operation... View Article

A triangle has side lengths of 3cm, 4cm, and, 6cm. Is it a right triangle explain?

A right-angled triangle is a type of triangle that has one of its angles equal to 90 degrees. The other two angles sum up to 90 degrees. The... View Article

What is the HCFof 30 and 42?

The Highest Common Factor (HCF) of two or more numbers is the greatest of all their common factors. Therefore, it is also called the greatest... View Article

LCM of 6,72 and 120 is ______________.

Given The numbers 6, 72 and 120 Find out We have to determine the LCM of 6, 7 and 120 Solution Let us determine the LCM by prime... View Article

A metal ball falls from a height of 32m on a steel plate. If the coefficient of restitution is 0.5 to what height will the ball rise after second bounce?

From Torricelli’s Law we know that V = √2gh V1 / V2 = 1/2 V2 = V1/2 = 12.6 V2 / 2g = h = 8m... View Article

Let A = {1, 2, 3, … , 14}. Define a relation R from A to A by R = {(x, y): 3x – y = 0, where x, y ∈ A}. Determine its domain

Domain definitionThe set of all possible values which qualify as inputs to a function is known as the domain of the function. In other words the... View Article

Find the value of ‘k’, for which the points are collinear A(2,3),B(4,k) and C(6,−3)

Given Points A(2,3),B(4,k) and C(6,−3) are collinear. Find out We have to determine the value of k... View Article

A particle of mass m is initially at rest at the origin. It is subjected to a force and starts moving along the x-axis. Its kinetic energy K changes with time as dK/dt = γt, where γ is a positive constant of appropriate dimensions. Which of the following statements is (are) true ? (A) The force applied on the particle is constant (B) The speed of the particle is proportional to time (C) The distance of the particle from the origin increses linerarly with time (D) The force is conservative

The correct options are A The force applied on the particle is constantB The speed of the particle is proportional to... View Article

If the distance between a point source of light and a screen is doubled, then the intensity will be

if the distance between a point source of light and a screen is doubled, then the intensity will be one fourth Intensity, I ∝... View Article

A batsman hits back a ball straight in the direction of the bowler without changing its initial speed of 12ms⁻¹. If the mass of the ball is 0.15 kg, determine the change in momentum of the ball.

The Impulse-momentum formula is obtained from the impulse-momentum theorem which states that change in momentum of an object is equal to impulse... View Article

Which of the following graph depicts spring constant K versus length L of the spring correctly?

Tne correct answer is option (d) According to Hooke’s law, the force required to compress or extend a spring is directly proportional... View Article

Find the sum of the first 7 terms of the series -4 + 8 – 16 + 32 -…?

If in a sequence of terms, each succeeding term is generated by multiplying each preceding term with a constant value, then the sequence is... View Article

If a chord, which is not a tangent, of the parabola y2 = 16x has the equation 2x + y = p, and midpoint (h, k), then which of the following is(are) possible value(s) of p, h, and k? (a) p = -2, h = 2, k = -4 (b) p = -1, h = 1, k = -3 (c) p = 2, h = 3, k = -4 (d) p = 5, h = 4, k = -3

The corect answer is (c) p = 2, h = 3, k = -4 The simplest equation of a parabola is y2 = x when the directrix is parallel to the... View Article

If second term of a G.P is 2 and its sum to infinity is 8.Find its first term

If in a sequence of terms, each succeeding term is generated by multiplying each preceding term with a constant value, then the sequence is... View Article

The sum of the first four terms of an A.P. is 56. The sum of the last four terms is 112. If its first term is 11, then find the number of terms.

An arithmetic sequence or progression is defined as a sequence of numbers in which for every pair of consecutive terms, the second number is... View Article

If tan θ + sin θ = p and tan θ – sin θ = q then prove that p2 – q2 = 4√pq

If tan θ + sin θ = p and tan θ - sin θ = q then prove that p2 – q2 = 4√pq... View Article

AB, CD and EF are perpendicular to the straight line BDF. If AB = x and, CD = z unit and EF = y unit, then (a) 1/x + 1/y = 1/z (b) 1/x – 1/y = 1/z (c) 1/x X 1/y = 1/z (d) None of these

In Δ FDC and Δ FBA, ∠FDC = ∠FBA [As DC || AB] ∠DFC = ∠BFA [common angle] Hence, ∆FDC ~ ∆FBA by AA criterion for... View Article

A physical quantity z depends on four observables a, b, c and d, as z = [a²b^2/3 / √c d³]. The percentages of error in the measurement of a, b, c and d are 2% , 1.5%, 4% and 2.5% respectively. The percentage of error in z is

Percentage Error Errors in measurement may also be expressed in terms of percentage. This is similar to relative error except that the... View Article

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