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

$4x^2-4x+1$

What least number must be added to 1056, so that the sum is completely divisible by 23?

The equation of a line is 3x + 4y – 7 = 0. Find :

(i) the slope of the line

(ii) the equation of a line perpendicular to the given line and passing through the intersection of the lines x – y + 2 = 0 and 3x + y -10 = 0.

Find the value of $\angle$ DCE:

Seven times a given two digit number is equals to 4 times of the number obtained by interchanging the digits and the difference of digits is 3 find the number

Find a quadratic polynomial whose zeroes are

$(\sqrt{3}+\sqrt{5})$, $(\sqrt{5}-\sqrt{3})$

If one of the roots of a quadratic equation is 5 and the product of their roots is -165, then the quadratic equation is :

Neeta buys an article for ₹ 4000. If the sales tax is charged at 8 % , find the amount paid as sales tax and also total amount paid for the article

The point P(3, 4) is reflected to P' in the x axis and O' is the image of O(0, 0) when reflected in the line PP'. Find the perimeter of the quadrilateral POP'O'.

A hemispherical bowl made of brass has inner radius of 3.5 cm. Find the cost of tin-plating the inner part of the bowl as well as tin plating a plate that exactly fits as a lid for the bowl. Tin plating is done at the rate of ₹10 per 100 sq.cm.

The coach of a cricket team buys 7 bats and 6 balls for 3800. Later she buys 3 bats and 5 balls for 1750. Find the cost of each bat and each ball.

A man invests Rs 800 in buying Rs 5 shares and when they are selling at a premium of Rs 1.15, he sells all the shares. Find his profit and profit percent.

Dear sir,

This is the question

Question:

To fill a swimming pool two pipes are used. If the pipe of larger diameter used for 4 hours and the pipe of smaller diameter for 9 hours, only half of the pool can be filled. Find, how long it would take for each pipe to fill the pool separately, if the pipe of smaller diameter takes 10 hours more than the pipe of larger diameter to fill the pool? Please give me the complete step to do this question....

Find the sum of the following series to n terms :-

0.5+0.55+0.555+.........

Using simplest method

The numerator of a fraction is 3 less than its denominator. If 1 is added to the denominator, the fraction is decreased by 1/15. Find the fraction.

Prove that if d is HCF of a and b then, d divides a-b and a+b.

If one of the pairs is given, then what is the probability that all the other required pairs can be determined?

Find a G.P. for which the sum of first two terms is -4 and the fifth term is 4 times the third term.

In the given figure, a circle of radius 2m is inscribed in a right angled triangle of hypotenuse length 14 m, find the perimeter of the triangle?

The dimensions of a room are 6m 75cm, 4m 50cm and 2m 25cm. Find the length of the largest measuring rod which can measure the dimensions in exact number of times.

1. 3

Consider a matrix $A.Then(A^T{)}^T$ =​ __

In $\Delta ABC,\angle A={40}^{\circ },BC=8cm.$ Find the circumdiameter of the triangle. $[sin{40}^{\circ }=0.64]$

For an odd positive integer to be perfect square it should be necessarily be of the 8k + 1 unable to understand this line

$\text{(A) In the given figure,}\left(p\right){60}^{\circ }\text{ABCD is a cyclic Quadrilateral.}\text{O is the centre of the circle.}\text{If}\angle BOD={160}^{\circ }\text{find the Measure of}\angle BPD$

He much pure alcohol must be added to 400 ml of a 15 percent solution to make its strength 32 percent? Please explain the method.

Use euclid's algorithm to find the HCF of 1190 and 1445 Express the HCF in the form of 1190m + 1445n

The mode of a frequency distribution can be determined graphically from:

Which of the following statements are true about points of trisection?

If np2=56, then find n

Two candles of same height but different thickness are lighted. The first burns of in 6 hrs and the second in 8 hrs. How long after lighting the both will the first candle be half of the second ?

What is the coefficient of $x^4$ in the polynomial p(x)=$x^7+3x^4+9x^2+1$ ?

A hotel bill for a number of people for overnight stay is Rs. 4,800. If there were 4 people more, the bill each person had to pay, would have reduced by Rs. 200. Find the number fo people staying overnight.

The sum of the product of the integers 1,2,3,...., n taken two at a time is

Find the third proportional to :

(i) $2\frac{2}{3}$ and 4

(ii) a - b and $a^2-b^2$

If O is a point inside a triangle ABC, which of the following is true ?

In given figure, a circle of radius 7.5cm is inscribed in a square, the remaining area of the square is

A cylinder, a cone and a hemisphere all have an equal base and have the same height. The ratio of their volumes is

The angle of elevation of the top of a tower from a point on the ground, which is 30 m away foot of the tower, is ${45}^{\circ }$. The height of the tower (in metres) is

In Fig. 7, PQ and AB are respectively the arcs of two concentric circles of radii 7 cm and 3.5 cm and centre O. If $\angle POQ={30}^{\circ }$ , then find the area of the shaded region. [Use $=\frac{22}{7}$]

One ticket is selected at random from 100 tickets numbered 00, 01, 02, ...... 98, 99. If X and Y denote the sum and the product of the digits on the tickets, then find the probability of X= 9 and Y=0.

The sum of two numbers is 4 more than the twice of the difference between the two numbers. One of the two numbers is three more than the other number.