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Perimeter of a rhombus is 146cm and one diagonal is 55cm. Find the other diagonal and area of a rhombus.

3 mark question

Prove side opposite to greater angle is longer in a triangle.

Question: factorise :-

1. 2y3 + y2 - 2y -1

I got like :-

Y= -1

Therefore , y+1 we have to divide right with the divident but if we do with y-1 the answer is Coming correct 😥 what is the process and y it's not coming y+1 correct????????!!

$\Delta DGH\text{and}\Delta DEF\text{are as shown below.}$ $\text{Find the lengths of segments DG and}\text{DE are \_\_\_\_ respectively.}$
$\text{(All the measures are in cm.)}$

We observe that in the first decimal place a has digit 7 and b has digit 7.In the second decimal place a has digit 1 and b has digit 7. So, irrational between them is 0.750750075000…

Which of the following is rational number?

Which of the following parameters given in the figure are enough to construct the figure (choose the minimum number of parameters possible):

Distance AO = d

Radius of the bigger circle (with center A) = R

Radius of the smaller circle (with center B) = r

$\angle$POA = $\theta$

Note that other than the parameters given in an option, nothing else is given and you have to come up with the figure as given above.

Use the following information to answer the next question.

In the given figure, PQRS is a parallelogram in which A and B are points on PQ and RS such that AP = AQ = SB = BR = 5 cm. The length of PC is 3 cm.

What is the length of the diagonal PR?

The ratio of the radius to the height of a right cone is 3:4. Then the ratio of total surface area to curved surface of the cone is____.

Directions:- Study the following information carefully to answer the question given below.

Eight persons — A, B, C, D, E, F, G and H are sitting around a regular octagonal table but not necessarily in the same order. Out of them, A and B are facing towards the centre of the table while the rest of them are facing outside. G sits second to the left of E. A sits second to the left of G. Only one person sits between A and H. B sits to the immediate right of A. D is not an immediate neighbour of G. B is not an immediate neighbour of G. Both the immediate neighbours of F face towards the outside.

What is the position of F with respect to A?

In a parallelogram ABCD, write the sum of angles A and B.

The cost of a new car is Rs 4,00,000. Its price depreciates at the rate of 10% a year during the first two years and at the rate of 20% a year there after. What will be the price of the car after 3 years?

What is the mean of the first ten natural numbers?

Which among the following polynomials has degree 3?

Places A and B are 200 km apart on a highway. One car starts from A and another from B at the same time. If the cars travel in the same direction at different speeds, they meet in 4 hours. If they travel towards each other, they meet in 1 hour. What are the speeds of the two cars? [4 MARKS]

The area of a square of side $\frac{3}{4}$ is

If sixth term of a H.P. is $\frac{1}{61}$ and its tenth term is $\frac{1}{105}$, then first term of that H.P. is

According to the construction shown in the diagram below, what do we call segment CD?

In the given figure, E is the midpoint of side AC and D is the midpoint of side AB, then

S1: DE = $\frac{1}{2}$BC and DE || BC

S2: Midpoint theorem: A line segment joining midpoints of 2 sides of a triangle is parallel to the third side and is half of it.

Express $0.8+0.\overline{7}+0.4\overline{3}$ in the form $\frac{p}{q},$ where p and q are integers and $q\ne 0$.

In the given figure AB||CD.
If $\angle CDE={85}^{\circ }$,then find the value of x and y respectively.

A trianlge is drawn between two parallel lines 6 cm apart. If the lenght of the base is equal to the distance between the lines, then its area is .

To get expanded form of 0.205, 2 should be multiplied with ____.

1. π = 22/7 so it is a rational number as it satisfies the requirements of being a rational number.
2. π = 3.141529...... so it is an irrational number.

Which of the following is a linear polynomial ?
(a) $x+x^2$
(b) $x+1$
(c) $5x^2-x+3$
(d) $x+\frac{1}{x}$

The total surface area of a cylinder is 462 $c{m}^2$. Its curved surface area is on third of its total surface area. Find the volume of the cylinder.

Draw a histogram for the frequency distribution of the following data:
$\begin{array}{cccccccc}\text{Class interval}& 8-13& 13-18& 18-23& 23-28& 28-33& 33-38& 38-43\\ \text{Frequency}& 320& 780& 160& 540& 260& 100& 80\end{array}$

The radius of a circle is $13$ cm and the length of one of its chords is $10$ cm. Find the shortest distance of the chord from the centre.

Give possible expressions for the length and breadth of each of the following rectangles, in which their areas are given: Area : 25$a^2$ – 35a + 12

Solve $(3-\sqrt{11})(3+\sqrt{11})$

The value of $\sqrt{3-2\sqrt{2}}$ is

(a)$\sqrt{3}+\sqrt{2}$ (b)$\sqrt{3}-\sqrt{2}$ (c)$\sqrt{2}+1$ (d)$\sqrt{2}-1$

If $b_{1}x+a_{1}y+c_1=0and{a}_{2}x+b_{2}y+c_2=0,theny=?$

If$x+\frac{1}{x}=5$, find the value of $x^3+\frac{1}{x^3}$.

In the adjoining figure, D, E, F are the midpoints of the sides BC, CA and AB respectively, of $\Delta ABC$. Show that $\angle EDF=\angle A,\angle DEF=\angle Band\angle DFE=\angle C$.

In the given figure, ABCD is a square and $\angle PQR={90}^{\circ }$. If PB = QC = DR, prove that (i) QB = RC, (ii) PQ = QR, (iii) $\angle QPR={45}^{\circ }$

In the following figure, BL =CM. Prove that AD is a median of $△ABC$

Given $x=lo{g}_{10}12$, $y=lo{g}_{4}2\times lo{g}_{10}9$ and $z=lo{g}_{10}0.4$, find :

(i) $x-y-z$

(ii) ${13}^{x-y-z}$

In the given figure, AB||CD. If $\angle AOC={30}^{\circ }$ and $\angle OAB={100}^{\circ }$ then $\angle OCD=?$

$\left(a\right){130}^{\circ }$

$\left(b\right){150}^{\circ }$

$\left(c\right){80}^{\circ }$

$\left(d\right){100}^{\circ }$

A cricket player scored the following runs in 12 one-day matches:
50, 30, 9, 32, 60, 50, 28, 50, 19, 50, 27, 35.
Find his modal score.

In the given figure, ABCD is a quadrilateral such that $DA\perp AB$ and $CB\perp AB$, x = y and EF || AD. Then $C{D}^2$ is equal to

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

The C.I earned by a sum of money in 2 years at 8% p.a. is ₹832. Find the sum