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The point (2, 3) is at a distance of ___ units from the x-axis.

Is it possible to construct a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 5.4 cm, DA = 5.9 cm and diagonal AC = 8 cm? If not, why?

What will be the ratio of corresponding sides formed in the construction of a similar triangle to ΔABC, if C divides the line segment AB in the ratio 8:17?

A cylindrical vessel , without lid, has to be tin coated on its its both sides. If the radius of the base is $70cm$ and it's height is $1.4m$, calculate the cost of tin coating at the rate of $Rs.3.50$ per $1000c{m}^2$.

A letter is drawn at random from a scrabble tile set and it is noted whether it is a vowel or a consonant. Then the tile is replaced. This is repeated 50 times. The final tally was 20 vowels and 30 consonants. What is the probability that a tile chosen at random will have a vowel on it?

Factorise:

$27x^3+y^3+z^3-9xyz$

PQ and RQ are chords of a circle equidistant from the centre and S is a point on the circle,such that QS forms diameter. Prove that the diameter QS bisects $\angle$PQR and $\angle$PSR.

If $5^{3x}=125and{10}^y=0.001findxandy.$

The surface area of sphere is $\left(576\pi \right)c{m}^2.$ Find its volume.

In the given figure, $\angle$ABC = 65° and $\angle$ACB = 33°. If AM $\perp$ BC and AN is the bisector of $\angle$A, then $\angle$MAN = __.

In a grouped frequency distribution what does lowest class limit mean?

How to construct 22.5 degree ?

Determine which of the following polynomials has (x+1) a factor

X⁴+3x³+3x²+x+1

Rationalise the denominator of $\frac{1}{\sqrt{6}+\sqrt{5}-\sqrt{11}}$

Equal chords AB and CD of a circle with centre O, cut at right angles at E. If M and N are the midpoints of AB and CD respectively, prove that OMEN is a square.
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The x and y intercepts of the line 2x + 3y =12 are respectively

Select the conjunction which can be used to join the sentences.
The novelist wrote the first draft.
He asked his friend for his opinion about it.
_____ writing the first draft, the novelist asked his friend for his opinion about it.

Volume of a hollow right circular cylinder is

Find the area of the quadrilateral (in sq.units) as shown in the figure below. $\angle$EAB = $\angle$AED = 90°. Given that: AB + AE = 4 units and EC = 7 units.

1. 22

A triangular shaped field has two sides of equal length which is 65 metres long. It encloses a length of 256 metres. Find the area it encloses.

The mean marks of 25 students of a class are 20.So the sum of their marks is equal to,

Statements:

Some rats are cats.

All cats are bats.

Conclusions:

I. No rats are cats.

II. Some rats are bats.

If the radius of a cylinder is doubled and height is halved find the change in the volume.

The mass of a sphere with constant density is ___. (R is the radius of the sphere)

Which of the following is not a reciprocal of ${\left(\frac{2}{3}\right)}^4$?

If the probability of taking a point from a triangle which is kept in a square such that one of its side coincides with side of the square is $\frac{1}{2}$ .Then the third vertex of the triangle

If the ratio of volume to total surface area of a solid sphere is 8 : 1, then radius of the sphere is ___.

If sin A = $\frac{8}{17}$, find the value of secA cosA + cosecA cosA.

The perpendicular distance of a point P from the X-axis is 4 units and from the Y-axis is 5 units (in the positive direction). What are the coordinates of point P?

The height of the cliff can be found out if the following information is given
I. The angle of elevation of the cliff from a fixed point F is ${45}^{\circ }$
II. After going up towards a distance of 1000 m at an inclination of ${30}^{\circ }$, the angle of elevation is ${60}^{\circ }$

Rational number p/q, q ≠ 0 will be terminating decimal if the prime factorisation of q is of the form. (m and n are non negative integers):

The width of each of five continuous classes in a frequency distribution is 5 and the lower class - limit of the lowest class is 10. Find the upper class - limit of the highest class.

If the side of a rhombus is 3 cm and its one diagonal is 4 cm, then find the area of the rhombus.

Probability of occurrence of an event is defined as ______.

Ordinate of all points on the x-axis is ________ .

When we bisect an angle of ${45}^{\circ }$ , we get two angles. ​​​​​

In the given figure, O is the centre of the circle. Find $x$.

Find x, y and z in the figure given below.

If $lo{g}_{0.5}(x-1)<lo{g}_{0.25}(x-1),$ then x lies in the interval.

A protractor is in the shape of a ___ , with angles ranging from ____.

In figure, $\angle BAC={90}^o$, AD is its bisector. If DE $\perp$ AC, Prove that $DE\times (AB+AC)=AB\times AC$.

A die is rolled twice. Find the probability that 5 will come up both the times.