Find the area of the triangle whose perimeter is 22cm. One side measures 9cm and the difference of the other two sides is 3cm.
Given Perimeter is 22 cm one side = 9 cm Difference of the other two sides =3 cm. Find out We... View Article
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Derive the expression for slope of a line y=mx+c
Consider a line L with slope m cuts the y-axis at a distance of c units from the origin. Here,... View Article
If a, b, c are in A.P. and P is the A.M. between a and b, and q is the A.M. between b and c, show that b is the A.M. between p and q.
Given As per the given details a, b, c are in A.P. P is the A.M. between a and b... View Article
Mutually perpendicular tangents TA and TB are drawn to y2=4ax, minimum length of AB is equal to____
Mutually perpendicular tangents TA and TB are drawn to y2=4ax, minimum length of AB is equal to 4a Solution Chord of... View Article
Explain the eqution y=mx+c.
y=mx+c is te equation of slope-intercept form of the equation. Definition The graph of the linear equation y = mx + c is a... View Article
If three different coins are tossed together, then what is the probability of getting two heads?
Probability is the measurement of chances – the likelihood that an event will occur. If the probability of an event... View Article
If LCM of p and 12 is 24 and the HCF of p and 12 is 4, then the value of p is?
Given that, LCM (p, 18) is 24 HCF (p,12) is 4. One of the numbers is=18. We know that: LCM... View Article
Out of 8 boys and 10 girls, how many groups of 5 boys and 6 girls can be formed?
Given A group of 8 boys and 10 girls Find out We have to determine how many groups of 5 boys... View Article
If volume and surface area of a sphere are numerically equal then it’s radius is
The formula to find the volume of sphere is given by: Volume of sphere = 4/3 πr3 [Cubic units] Solution We know... View Article
Given a square matrix A of order 3×3 such that ∣A∣=12, find the value of | A Adj A|
The adjoint of a square matrix A = [aij]n x n is defined as the transpose of the matrix [Aij]n x... View Article
How many elements has P (A), if A = Φ?
In set theory, the power set (or power set) of a Set A is defined as the set of all... View Article
A recurring deposit account of Rs. 1,200 per month has maturity value of Rs. 12,440. If the rate of interest is 8% and the interest is calculated at the end of every month, find the time (in months) of this Recurring Deposit Account.
Given The princial amount P =Rs1,200 Maturity Value =Rs12,440 Rate =8% Find out We have to determine the interest is... View Article
ABC is an isoceles right-angled triangle in which ∠A = 90°. Find ∠B and ∠C.
Given An isoceles right angled triangle ∠A= 90º Find out We have to determine the angles B and C Solution... View Article
Determine the formula for a2 + b2 + c2
The formula for a2 + b2 + c2 can be determine using (a+b+c)2 We know that (a+b+c)2 can be expressed as... View Article
The work function of caesium metal is 2.14 eV. When light of frequency 6 ×1014Hz is incident on the metal surface, photoemission of electrons occurs. What is the (a) maximum kinetic energy of the emitted electrons, (b) Stopping potential, and (c) maximum speed of the emitted photoelectrons?
The photoelectric effect is a phenomenon in which electrons are ejected from the surface of a metal when light is... View Article
A five-digit number divisible by 3 is to be formed using the digits 0,1,2,3,4 and 5, without repetition. The total number of ways this can be done is
A five-digit number divisible by 3 is to be formed using the digits 0,1,2,3,4 and 5, without repetition. The total... View Article
If two matrices have the same numbers in them, then they are equal. Say True or false
The answer is False Two matrices are called equal matrices if they have the same order or dimension and the... View Article
Show that area of the triangle formed by the lines y = m1x, y = m2x, and y = c is equal to c2/4(√33 + √11), where m1, m2 are the roots of the equation x2 + (√3 + 2)x + √3 – 1 = 0.
Show that area of the triangle formed by the lines y = m1x, y = m2x, and y = c... View Article
If the supplement of an angle is 4 times of its compliment, then the measure of the angle is _______________.
Let us assume the required angle to be x Then The supplement of it is 180−xThe complement of it is 90−x... View Article
Find the smallest square number which is divisible by each of the numbers 6,9 and 15.
At first we have to find L.C.M of 6,9 and 15 6 = 2 x 3 x 1 9 = 3 x 3... View Article
