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Which of these terms of the sequence given is the first negative term?

The coach of a cricket team buys 3 bats and 6 balls for Rs 3900. Later, she buys another bat and 3 more balls of the same kind for Rs 1300. Represent this situation algebraically and geometrically.

In the given figure, O is the center of each one of two concentric circles of radii 4 cm and 6 cm respectively. PA and PB are tangents to outer and inner circle respectively. If PA = 10 cm, find the length of PB(up to two places of decimal).

Find the probability of getting at least two heads if three coins are tossed simultaneously.

What is the graph of $-x^2+5x-6$?

Match the correct expression for volume of the following 3D - shapes.

Which distance would you select in order to find the point P, if distance AP is given?

An ice cream cone has a depth of 9 inches and a radius of 2 inches, respectively. The volume of the cone ice cream is .

A paper is in the form of a rectangle ABCD where AB = 22 cm and BC = 14 cm. A semicircle portion with BC as diameter is cut off. Find the area of the remaining paper in $c{m}^2$.

Which is the largest number that perfectly divides 480 and 270?

A hollow metallic sphere with external diameter 8 cm and internal diameter 4 cm is melted and moulded into a cone having base radius 4 cm. The height of the cone is

(a) 12 cm (b) 14 cm (c) 15 cm (d) 18 cm

Equation of a line parallel to the x-axis and at a distance ${}^{\prime }{p}^{\prime }$ from it, is ____________ .

Find the zeroes of the following equations and the sum and product of the zeroes

1) $6x^2-4-5x$

2) $9x^2-6x+1$

3) $4x^2-x-3$

Find the standard deviation for the following data.

$\begin{array}{cccccc}{x}_i& 3& 8& 13& 18& 23\\ f_i& 7& 10& 15& 10& 6\end{array}$

In the given figure, XY is a tangent to the circle with centre O at A. If $\angle CAX=\angle BAY={60}^{\circ }$, then OD equals

Identify the modal class, the upper limit of the modal class and the lower limit of the modal class for the given data:
$\begin{array}{ccccccc}\text{Age(in years)}& 5-15& 15-25& 25-35& 35-45& 45-55& 55-65\\ \text{Number of patients}& 6& 11& 21& 23& 14& 5\end{array}$

If the height and radius of a cone of volume V are doubled, then the volume of the cone, is

Match the two column;
$\begin{array}{cc}\text{Column-I}& \text{Column-II}\\ \text{(A) In the given figure,}& \text{(p)}{60}^{\circ }\\ \text{ABCD is a cyclic Quadrilateral.}& \\ \text{O is the centre of the circle.}& \\ \text{If}\angle \text{BOD}={160}^{\circ }\text{find the Measure of}\angle \text{BPD.}& \end{array}$


$\begin{array}{cc}\text{(B) In given figure, ABCD is a cyclic}& \text{(q)}{65}^{\circ }\\ \text{quadrilateral whose side AB is a diameter}& \\ \text{of the circle through A, B, C, D.}& \\ \text{If}\angle {\text{ADC = 130}}^{\circ }\text{, find}\angle \text{BAC.}& \end{array}$


$\begin{array}{cc}\text{(C) In the given figure BD = DC and}& {\text{(r) 40}}^{\circ }\\ \angle {\text{CBD = 30}}^{\circ }\text{Find m}\left(\angle \text{BAC}\right)& \end{array}$


$\begin{array}{cc}\text{(D) In the given figure, O is the centre of the}& {\text{(s) 100}}^{\circ }\\ {\text{arc ABC subtends an angle of 130}}^{\circ }\text{at the centre.}& \\ \text{If AB is extended to Pm find}\angle \text{PBC.}& \end{array}$


Choose the correct option:

Candidates of four schools appear in maths test. The data is as follows:

If the average score of the candidates is 66. Find the number of candidates appeared from School C.

If A(-5, 7), B(-4,-5), C(-1,-6) and D(4,5) are the vertices of a quadrilateral then its area is

Find the point on the x-axis which is equidistant from (2, − 5) and (− 2, 9).

If $7si{n}^2\theta +3co{s}^2\theta =4$, then $sec\theta +cosec\theta$ is equal to