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The sides of a triangle are $35cm,54cm$ and $61cm.$ The length of its longest altitude is

Which of the following is not a factor of $x^3$+ 2$x^2+x$?

In the given figure, PQRS is a parallelogram. If $PT:TQ=1:2,SA:AT=3:5,TB:BC:CR=1:2:3andar\left(PQRS\right)=1440c{m}^2,then\left[ar\right(PAS)+ar(QBC\left)\right]$ equals

A leading library has fixed charge for the first three days and an additional charges for each day thereafter. Johan paid 25rupees for a book kept for seven days. If the fixed charges be rupees X and subsequent per day charges be rupees Y; then write the linear equation representing the above information and draw the graph of the same. From the graph if the fixed charge is 7 rupees, find the subsequent per day charge. And if the per day charge 4rupees,find the fixed charge(charge is 7 rupees)

Find the length of diagonal of a square with side $8cm.$

The diagonals of a rectangle ABCD meet at O. If $\angle BOC={44}^{\circ }$ find $\angle OAD$

In the given figure, find the values of x and y and then show that AB || CD.

Which of the following triangles are isosceles as well as obtuse-angled triangles?

$\text{Side BCof}\Delta ABC\text{hs been produced to D on left and to E on right-hand side of BC such that}\angle ABD={125}^{\circ }and\angle ACE={130}^{\circ }.Then,\angle A=?$

$\left(a\right){50}^{\circ }\left(b\right){55}^{\circ }\left(c\right){65}^{\circ }\left(d\right){75}^{\circ }$

ABCD is a parallelogram whose area is 54 $c{m}^2$. The area of triangle AEB is __ $c{m}^2$.

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If $x=2$ and $y=4$, then

${\left(\frac{x}{y}\right)}^{x-y}+{\left(\frac{y}{x}\right)}^{y-x}=$ ?

What is the interior angle of a regular octagon (regular polygon of 8 sides)?

On a graph, draw a quadrilateral whose vertices are (1, 1), (2, 4), (6, 4) and (5, 1). Justify the quadrilateral.

If one of the two factors of an expression which is the difference of two cubes is ($x^4$ + $x^2$y + $y^2$), then the other factor would be -

Question 15

In Fig. 12.33, ABC is a quadrant of a circle of radius 14 cm and a semicircle is drawn with BC as diameter. Find the area of the shaded region.

For a cube of side 'a' and a cuboid of length 'l', breadth 'b' and height 'h', match the following.

Question 6 (i)
Diagonal AC of parallelogram ABCD bisects $\angle$ A ( see the given figure). Show that
It bisects $\angle$ C also,

In a circular dartboard of radius 20 cm, there are 5 concentric circles. the radius of each inner concentric circle is 4 cm less than the outer concentric circle. Find the probability that a dart hits anywhere in the smallest circle assuming that the dart doesn't hit on the boundary of any circle.

A chord of a circle of radius 12 cm subtends an angle of ${120}^{\circ }$ at the centre. Find the area in $c{m}^2$ of the corresponding segment of the circle. (Use $\pi$ = 3.14 and $\sqrt{3}$ = 1.73)

Refer the figure below and answer the questions that follow. In the figure, line l is parallel to line m.

What is the value of angle 2?

What is the solution of the equation: $5x+10y=35?$

The factorisation of $2y^3+10y^2-48y$ is .

In the given figure, ABCD is a trapezium. M and N are midpoints of diagonals AC and BD respectively. Which of the following is true?

Identify constant, linear, quadratic, cubic and quartic polynomials from the following.

(i) $-7+x$

(ii) $6y$

(iii) $-z^3$

If the area of a rectangle of length = 3 m and width = 7 m is $\text{21}{m}^2,$ then what is the volume of a rectangular block having length = 3 m, width = 7 m and height = 1 m?