Explore topic-wise InterviewSolutions in Current Affairs.

Q2. if a2 +b2+c2=250 and ab+bc+ca=3 find a+b+c

If a + b + c = 0, then $\frac{a^2}{bc}+\frac{b^2}{ca}+\frac{c^2}{ab}$=

$\frac{x}{5}+\frac{y}{3}=1$ and $\frac{x}{k}+\frac{y}{m}=1$. Choose the correct statement.

If the radius of a cylinder reduces by 50 $\%$, then volume of the cylinder reduces by

In the given figure, AB and CD are two equal chords of the circle with centre O. OP and OQ are perpendiculars of the chord AB and CD respectively. If $\angle POQ={80}^{\circ },$ then what is the value of $\angle APQ$?

How many linear equations can be satisfied by x = 2 and y = 3 ?

(a) only one

(b) only two

(c) only three

(d) infinitely many

The point (–2, –3) belongs to which quadrant?

In a series of 6 cricket matches, the number of runs scored by the captain of a team are 54, 32, 48, 55, 29, 35. So in the next match, the probability that he will cross the half century is

If 2x + 3y = 12 and xy = 5, find the value of 4x² + 9y².

Use the following information to answer the next question.

In the given figure, l || m and lines p and q intersect at point O.

In the given figure, quadrilateral ABCD is a

In ∆ PQR, PQ = 24 cm, QR = 7cm & /PQR = 90^o. Find the radius of the inscribed circle.

Find the quotient when the polynomial $4x^3+x^2-3$ is divided by $x-2$ using synthetic division method.

Evaluate :
$tan{26}^{\circ }/cot{64}^{\circ }$___

Given that, line L is perpendicular to line AB. What is the difference between CK and FK?

Simplify : $4^{-2}+4^{-1}+4^0+4^2$

ABCD is a trapezium, AB II DC. If ∠A = ∠B = 40^o the measure of the other two angles is

If $x=3+2\sqrt{2}$, then find the value of $(\sqrt{x}-\frac{1}{\sqrt{x}})$

Find the equation of the line interesting the X-axis at a distance of 3 units to the left of origin with slope 2.

If sec 5A = cosec(A - ${30}^{\circ }$) and A is an acute angle, then find the value of A in degrees.

In figure, AD = BC, then prove that AC = BD

Simplify :

6 minus 4 route 3 upon 6 plus 4 route 3 .

If $4\hat{i}+7\hat{j}+8\hat{k},2\hat{i}+3\hat{j}+4\hat{k}$ and $2\hat{i}+5\hat{j}+7\hat{k}$ are the position vectors of the vertices A, B and C respectively of triangle ABC. The position vector of the point where the bisector of angle A meets BC is

Mr. Tiwari receives Rs 6455 at the end of one year at the rate of 14% per annum in a recurring deposit account. What is his monthly installment?

Good afternoon

My name is VANDITA YADAV and I am student of BYJUS 9th grade.

What is zero polynomial and constant polynomial? Please explain with example

In the figure, $O$ is the centre of the circle of radius $5\text{cm}.$ $P$ and $Q$ are points on chords $AB$ and $CD$ respectively such that $OP\perp AB,OQ\perp CD,AB||CD,AB=6\text{cm}$ and $CD=8cm.$ Determine $PQ$.

If x+1/x=2 then x^37+1/x^23=?

If $\sqrt{2}=1.4142$... then $\sqrt{\frac{\sqrt{2}-1}{\sqrt{2}+1}}$ is equal to

A) $2.4142$
B) $5.8282$
C) $0.4142$
D) $0.1718$

What is the number of arcs that need to be drawn during the method of triangle construction 2?

All three angles of a triangle always add upto .

The probability on a certain events is

Write the supplement of 180-x

In a quadrilateral ABCD, $\angle A+\angle C$is 2 times $\angle B+\angle D$. If $\angle A={140}^{\circ }and\angle D={60}^{\circ },then\angle B=$

A field is in the form of a rectangle of length 18 m and width 15 m. A pit, 7.5 m long, 6 m broad and 0.8 m deep, is dug in a corner of the field and the earth taken out is spread over the remaining area of the field. Find out the extent to which the level of the field has been raised.

ABCD is a parallelogram with an area of $48c{m}^2$. If AC is a diagonal of the parallelogram, what is the area of $△ACD$ ?

If $x=\frac{2}{3+\sqrt{7}}$, then $(x-3{)}^2$=

Factorise
$a^3-\frac{1}{a^3}-2a+\frac{2}{a}$

Three coins are tossed 30 times. Each time the number of heads occurring was noted down as follows:
0, 1, 2, 2, 1, 2, 3, 1, 3, 0, 1, 3, 1, 1, 2, 2, 0, 1, 2, 1, 0, 3, 0, 2, 1, 1, 3,2,0,2.
Prepare a frequency distribution table.

$\text{A solid metal ball of radius 8 cm is melted and cast into smaller balls, each of radius 2cm.The number of such balls is}\left(a\right)8\left(b\right)16\left(c\right)32\left(d\right)64$

Find the cost of digging a cubodial pit 8 m long, 6 m broad and 3 m deep at the rate of Rs 30 per $m^3.$

ABCD is a parallelogram whose area is 60 $c{m}^2$. The area of triangle AEB is __ $c{m}^2$.

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Question 108

Fill in the blank to make the statement true.
By adding 1 to the greatest .............. digit number, we get ten lakh.

A student constructed a triangle with the known conditions to him being the perimeter of the triangle and both the base angles. The steps of construction he used are as follows:

1. Draw a line segment, say XY equal to AB + BC + AC

2. Make angles LXY equal to $\angle$ B and MYX equal to $\angle$ C

3. Bisect $\angle$ LXY and $\angle$ MXY. Let these bisectors intersect each other at A.

4. Draw perpendicular bisectors PQ of AX and RS of AY

5. Let PQ intersect XY at B and RS intersect XY at C. Join AB and AC.

6. The triangle ABC is thus formed.

How many isosceles triangles are there in this figure?

The figure formed by joining the mid-points of the adjacent sides of a square is a