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Which term of the AP $=\frac{5}{6},1,1\frac{1}{6},1\frac{1}{3},...is3?$

Find the zeros of the polynomial $x^2-3x-m(m+3).$

Constructa $\Delta PQR,$ in which PQ = 6 cm, QR = 7 cm and PR = 8 cm. Then, construct another triangle whose sides are $\frac{4}{5}$ to,of the corresponding sides of $\Delta PQR$.

$5^4=625$ can also be expressed as

The mean and mode of a frequency distribution are 28 and 16 respectively. The median is

(a) 22 (b) 23.5 (c) 24 (d) 24.5

The first and last terms of an AP are a and l repectively. Show that the sum of hte nth term from the beginning and the nth tern from the end is (a + 1).

The positive value of k, for which both equations: x² + kx + 64 =0 and x² - 8x + k =0 have real roots is___________

Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coeffients :

$x^2+7x+12$

A park is in the form of a rectangle $120m\times 100m$. At the centre of the park there is a circular lawn. The area of park excluding lawn is $8700m^2$. Find the radius of the circular lawn. (Use $\pi =\frac{22}{7}$)

Question 4
Draw a histogram to represent the following grouped frequency distribution

$\begin{array}{cc}\text{Age(in years)}& \text{Number of teachers}\\ 20-24& 10\\ 25-29& 28\\ 30-34& 32\\ 35-39& 48\\ 40-44& 50\\ 45-49& 35\\ 50-54& 12\end{array}$

Find the circumradius of a right angled triangle, the hypotenuse of which is 12 cm and the length of any other side is 5 cm.

Who is sitting between $\alpha$ and $\beta$?

find the sum of the first 22nd term of an AP in which d=7 and 22nd term is 149

The height of the tower is 100 m. When the angle of elevation of the sun changes from ${30}^{\circ }to{45}^{\circ }$, the shadow of the tower becomes x metres less. The value of x is:

In a triangle ABC, $\angle A={60}^{\circ }$ and the incircle (centre O) touches BC, CA and AB at points P, Q and R respectively. Then, select the statements that are true.

The value of $\frac{\cos A}{\cot A}+\sin A$ is:

Question 4
If $\frac{1}{2}$ is a root of equation $x^2+kx-\frac{5}{4}=0$, then the value of k is
$\left(A\right)2$
$\left(B\right)–2$
$\left(C\right)\frac{1}{4}$
$\left(D\right)\frac{1}{2}$

What is the function of the underlined preposition?
I have bought a basket full of exotic fruits for Swami.

In the given figure PA = 3 cm and PB = 6 cm, the value of PT is equal to

Solve the quadratic equation 9x² + 16 = 0.

It's Shreya's Birthday. There are 20 students in her class, numbered 1 to 20. She gives 8 chocolates to student 1, 10 more than 8 chocolates to student 2, and progresses in such a way that each succeeding student gets 10 chocolates more than each preceding student. What is the exact number of chocolates Shreya needs to buy such that the chocolates are exactly sufficient?

Find the rate of change of the area of a circle per second with respect to its radius r when r = 12 cm.

A chord of length 6 cm is drawn on a circle of radius 5 cm. Calculate its distance from the centre of the circle.

FIND THE LARGEST 4 DIGIT NUMBER WHICH WHEN DIVIDED BY 4,7AN 13 LEAVES A REMAINDER OF 3 IN EACH CASE

In figure below sec α is:

If f: A$\to$B is defined by f(x) = 3x – 1, find the value of f(2) – f(5) + f(1)

The points (a, b + c), (b, c + a) and (c, a + b) are

If $A=\left[\begin{array}{cc}\alpha & 0\\ 1& 1\end{array}\right]$ and $B=\left[\begin{array}{cc}1& 0\\ 3& 1\end{array}\right],$ Then the value of $\alpha$ for which $A^2=B$ is

If$x=1+a+a^2..........to\infty$$(|a|<1),y=1+b+b^2$ ......... to $\infty$ (|b| < 1), then $Z=1+ab+a^2$ $b^2$ + $a^3$ $b^3.....to\infty$ to is

All edges of a square pyramid are of equal lengths. If the length of the base edge is $40cm$, what is the slant height?

Find the value of given expression

3$\sqrt[3]{348}$ -2 $\sqrt[2]{2108}$ + 2$\sqrt[2]{275}$

If one of the zero of polynomial is three more than other and sum of the zeroes is 5 then the polynomial is ____

Chaitya sold Rs 100 shares at 10% discount and invested in 15% Rs 50 shares at Rs 33. Had he sold his shares at 10% premium instead of 10% discount, he would have earned Rs 450 more. Find the number of shares sold by him.

When the top of the chimney of a factory is seen from a point on the roof of a three-storied building of $9\sqrt{3}$ metre height, the angle of elevation is ${30}^{\circ }$. If the distance between the factory and chimney is 30 metres, calculate the height of the chimney.

___ is a factor of the polynomial $p\left(x\right)=5x-10$.

How many consecutive natural numbers starting from 1 can be added to get 5050?

The mean proportional of the line segments of length 4 cm and 7 cm is ________.(Use geometric method)

Three vertices of a parallelogram ABCD taken in order are A(3, 6), B (5, 10) and C(3, 2). Then the coordinates of the fourth vertex D is

ABC is an isosceles triangle, right-angled at B. Similar triangles ACD and ABE are constructed on sides AC and AB. Find the ratio between the areas of $\Delta ABEand\Delta ACD$.

Which of the following equations does not pass through point (3,3)

Given polynomial p(x) = $x^5-3x^4-3x^3+9x^2+2x-6$ is completely divisble by $x^4-3x^2+2$ the find quotient.

A chess board contains 64 equal squares and the area of each square is $6.25c{m}^2$. A border around the board is 2 cm wide. Find the length of the side of the chess board.