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If $\frac{3}{8}$ = $\frac{a}{10}$ + $\frac{b}{100}$ + $\frac{c}{1000}$

find the value of a , b and c

If $r_{xy}=0$, the variable X and Y are

(a) linearly related

(b) not linearly related

(c) independent

In quadrilateral PQRS, PQ=4cm, QR= 3cm, RS= 5.9cm, QS =4.8cm and PR=5.5cm. Find the value of PS using constructions.

Evaluate $\left(\right(999{)}^2-1)$.

1. 1

If p(x)=p(1)=0 .How can x-1can be factor of the specific polynomial

For what value of $p$ , $x=3$ will be a root of the equation $p{x}^2+2x-3=0$

Q. Find the value of x for which 5 is the mode of the observations 3,4,5,7,7,5,3,x

The triangle PQR is reduced to form triangle STU. Calculate the scale factor.

The angle of a triangle are $3x,2x-7$ and $4x-11.$ Then, the value of $x$ is?

If ab+bc+ac=0, find the value of (1/a^2-bc)+(1/b^2-ca)+(1/c^2-ab)

ABCD is a rectangle in which diagonal AC bisects angle A as well as angle C. Show that

(1) ABCD is a square

(2) diagonal BD bisects angle B as well as angle D

For what values of a is 2x³+ax^{​​​​​2}+11x+a+3 exactly divisible by 2x-1

Three times the smallest of three consecutive odd numbers decreased by 7 equals twice the largest one. Find the numbers ?

Represent 0.875 in rational form.

A die is thrown once. Find the probability of getting at most 2.

What is the difference between factor and remainder theoram??

Which of the following should be the SECOND sentence after rearrangement?

A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long ,10 cm wide,and 8 cm high.

1.which box has the greater lateral surface area and by how much?

2.which box has the smaller total surface area and by how much?

In a simultaneous throw of a pair of dice, the probability of getting a sum more than 7 will be

If $a=lo{g}_{24}12,b=lo{g}_{36}24,c=lo{g}_{48}36$, then $1+abc$ is equal to

At what rate % p.a, compound interest will Rs 10,000 amount to Rs 13310 in 3 years?

If the bisector of the angles between the pairs of lines given by the equation $a{x}^2+2hxy+b{y}^2=0$ and $a{x}^2+2hxy+b{y}^2+\lambda (x^2+y^2)=0$ be coincident, then $\lambda$ =

Find the value of : [(0.87)³ + (0.13)³] ÷ [(0.87)² + (0.13)² - 0.87 × 0.13] .

Rationalise :

Root 3 + root 2 by 5 + root 2

In an equilateral triangle ABC, D is a point on side BC such that $BD=\frac{BC}{3}$. Then:

If $sin3\theta =cos(\theta -{26}^{\circ }$), where $3\theta$ and $(\theta$-${26}^{\circ })$ are acute angles, then find the value of $\theta$.

The range of $si{n}^{-1}x-co{s}^{-1}x$ is

In the figure, AD is a straight line. OP is perpendicular to AD and O is the centre of both the circles. If AO = 34 cm, OB = 20 cm and OP = 16 cm, then the length of AD is

One of the factors of (16y² - 1) + (1 -4y)² is

If $lo{g}_{10}x=ythenlo{g}_{1000}{x}^2$ is equal to

The curved surface area of a right circular cone whose slant height is 28 cm and base radius is 10.5 cm is

If the angle of elevation of Sun decreases from ${90}^{\circ }$ to $0^{\circ }$, then the length of the shadow of a man will :

Use the following information to answer the next question.

The given figure shows ΔABC and ΔDBC with AB = DB and CA = CD.

What is the measure of ∠ABC?

$x^2=11+2\sqrt{30}$, find x

Parallelogram PQRS, $\Delta \text{PQS}$ and rectangle PQTU have the same base PQ. If the area of $\Delta \text{PQS}=48c{m}^2$, then find the area of rectangle PQTU.

AB = 1 cm. Find the length DO, given that ABCD is a square (O is the midpoint of the diagonal DB).

The graph below shows the number of people of different age groups staying in a hotel. Find the correct statement(s) among the options.

Which of the following equations has a constant of proportionality equal to 1?

An equilateral triangle ABC is inscribed in a circle centered at O and of radius 9 cm, as shown below. OD is a radius such that it is perpendicular to BC and cuts BC at point E. Then the length of OE is

Prove that:

$si{n}^2{72}^{\circ }-si{n}^2{60}^{\circ }=\frac{\sqrt{5}-1}{8}$

Which of the following equivalent form of $\frac{3\sqrt{6}-4\sqrt{3}}{4\sqrt{6}-2\sqrt{3}}?$