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Which of the following is the difference between tax and price?

If the roots of a(b-c)$x^2$+b(c-a)x+c(a-b)=0 are equal, then a,b,c are in

Find the value (s) of x for which the distance between the points P(x, 4) and Q (9, 10) is 10 units.

Reflection of $(10,45)$ in the origin is ____________

From each of the two opposite corners of a square of side 8 cm, a quadrant of a circle of radius 1.4 cm is cut. Another circle of radius 4.2 cm is also cut from the centre as shown in Fig. Find the area of the remaining (shaded) portion of the square. (Use $\pi =\frac{22}{7}$)

The zeros of the polynomial $x^2-2x-3$are

In the given figure, O is the centre of a circle, AB is a chord and AT is the tangent at A. If $\angle$ AOB = ${100}^o$ then $\angle$ BAT is equal to

(a) ${40}^o$ (b) ${50}^o$ (c) ${90}^o$ (d) ${100}^o$

the 24th term of an AP is twice is 10th term. Show that its 72nd term is 4 times its 15 the term.

The theoretical formula for probability is based on the assumption that all outcomes are___.

Question 3
Draw a histogram of the following distribution.

$\begin{array}{cc}\text{Height(in cm)}& \text{Number of students}\\ 150-153& 7\\ 153-156& 8\\ 156-159& 14\\ 159-162& 10\\ 162-165& 6\\ 165-168& 5\\ \text{Total}& 145\end{array}$

Name the type of triangle formed by the points A(-5,6), B(-4,-2) and C(7,5).

In the given figure, there are two concentric circles with center O such that AP is tangent to the bigger circle and AB is tangent to the smaller circle. If $\angle APB=\angle ABP={30}^{\circ },OA=3$ cm and OP =5 cm, then, radius of the smaller circle is

A rangoli has been drawn on the floor of a house. ABCD and PQRS both are in the shape of a rhombus. Find the radius of semi-circle drawn on each side of rhombus ABCD.

If product of roots is 0. Then one of the roots of the equation is

Dome of the enemy's fort is in the shape of a right cone which has slant height 13 m and height of 12 m as observed by the hero through the telescope.Hero comes to know that the dome is filled with gold. If the cost of gold is$\frac{30}{\pi }$lakhs per cubic meter, then find the total value of gold in the dome of the enemy's fort.(Take $\pi$= $\frac{22}{7}$)

A spiral is made up of successive semicircles, with centers alternatively at A and B, starting with center at A first and then at B, with radii 0.5 cm, 1.0 cm, 1.5 cm, 2.0 cm and so on. The total length of such a spiral made up of 13 consecutive semicircles is ___. Take $\pi =\frac{22}{7}$

If the sum of the first n terms of an AP is (4n− $n^2$), what is the first term (that is $S_1$)? What is the sum of first two terms? What is the second term? Similarly, find the $3^{rd}$, the ${10}^{th}$ and the $n^{th}$ terms.

Prove that 1+1/√2 is irrational

Three faces of a die is colored with green, blue and red. The remaining three faces are numbered with $2$, $4$ and $6$. What is the probability of getting either red colour or even number on throwing the die once ?

A toy in shape of a hemisphere of radius 14 cm is surmounted by a cone of height 22 cm. Find the volume of the toy.

Question 4
The lengths of 40 leaves of a plant are measured correct to the nearest millimeter, and the data obtained is represented in the following table:

$\begin{array}{cc}Length\left(inmm\right)& Numberofleaves{f}_i\\ 118-126& 3\\ 127-135& 5\\ 136-144& 9\\ 145-153& 12\\ 154-162& 5\\ 163-171& 4\\ 172-180& 2\end{array}$

Find the median length of the leaves.

25000 =

The number of diagonals in an octagon will be ___.

In the given figure, AB is a tangent to the circle with centre P. Using the information given in the figure, find $\angle BAM$.

In the adjoining figure. ABC is a triangle in which AB = AC. If D and E are points on AB and AC respectively such that AD = AE, show that the points B, C, E and D are concyclic.

Q27. Ajay, Bimal and Charu started a business together and invested capital in the ratio of 4:3:2. At the end of business terms, they divided the profit in the ratio of 5:3:4. What is the ratio of time for which they invested their capitals in the business?

अजय, बिमल और चारू ने एक साथ एक व्यापार शुरू किया और 4:3:2 के अनुपात में पूंजी निवेश किया। व्यापार की शर्तें खत्म होने पर, उन्होंने लाभ को 5:3:4 के अनुपात में विभक्त किया। उस समय का अनुपात क्या है जिसके लिए उन्होंने व्यापार में पूंजी निवेश किया था?

The scale factor for constructing similar triangles gives the ____ of corresponding sides of triangles.

A pair of linear equations which has a unique solution $x=-2,y=1$ is

In the given, PT touches the circle with centre Q at point R. Diameter SQ is product to meet the tangent TR at P. $\angle SPR=x^{\circ }$ and $\angle QRP=y^{\circ }$
Which one of the following statements are true?

Solve the following inequalities graphically in two dimensional plane:

y < -2

A circum-circle is drawn around a right triangle PQR. The height and the base of the triangle are 5 cm and 12 cm, respectively. What would be the area of the shaded region?

i) Percentage of people in the height range of 149.5 -159.5cm is equal to ______

ii) Percentage difference between height group 159.5 - 169.5cm and 169.5 - 179.5cm

The value of $tan{1}^{\circ }tan{2}^{\circ }tan{3}^{\circ }...tan{89}^{\circ }$ is

Draw a circle of radius 3 cm. Extend its diameter and mark two points P and Q each at a distance of 7 cm from the centre. From the points P and Q, draw tangents to the circle and find their approximate lengths.

Nirmala buys goods worth ₹ 2500 and gets a rebate of 5 % on it. After getting the rebate, if sales tax is charged at 5% , find the amount she has to pay for the goods

If $\left[\begin{array}{cccc}1& 0& 0& 0\\ 2& 3& 0& 0\\ 4& 5& 6& 0\\ 7& 8& 9& 10\end{array}\right]$, then A is

Prove that only one of the number n-1, n+1 or n+5 is divisible by 3, where n is any positive integer. Explain

If one card is drawn from a well-shuffled deck of 52 cards, then which of the following is true?

Which of the following equations has 2 as a root?