Question 1 :
The AP whose first term is 10 and commondifference is 3 is
Question 2 :
Three numbers $x, y$ and $z$ are in arithmetic progressions. If $x + y + z = -3$ and $xyz = 8$, then $x^2 + y^2 + z^2$ is equal to
Question 3 :
If $ax^2 + bx + c =0$ has equal roots, then c is equal to ______.
Question 4 :
Suppose $a,b,c \in R$, $a \ne 0$ and $4a - 6b + 9c < 0\,$ and $a{x^2} + bx + c = 0$ does not have real roots, then
Question 5 :
Number of roots of equation ${ 3 }{ \left| x \right|  }-\left| 2-\left| x \right|  \right| =1$ is
Question 6 :
The angles of elevation of an artificial satellite measured from two earth stations are $30^0$ and $40^0$ respectively. If the distance between the earth stations is 4000 km, then the height of the satellite is
Question 7 :
The angle of elevation from a point on the bank of a river to the top of a temple on the other bank is $45^o$. Retreating $50\  m$, the observer finds the new angle of elevation as $30^{\circ}$. What is the width of the river ?
Question 8 :
Write True or False and give reasons for your answer in the following:<br/>A pair of tangents can be constructed from a point P to a circle of radius 3.5 cm situated at a distance of 3 cm from the center.<br/>
Question 9 :
The condition so that the line $(x+ g) cos \theta + (y+f) sin \theta = k$ is a tangent to $x^2 + y^2 + 2gx + 2fy + c=0$ is:
Question 10 :
$lx+my+n=0$ is a tangent line to the circle ${ x }^{ 2 }+{ y }^{ 2 }={r}^{2}$, if-
Question 11 :
The areas of two similar triangles are $45$ sq. cm and $80$ sq. cm. The sum of their perimeters is $35$ cm. Find the perimeter of each triangle in cm.
Question 12 :
The base and top diameter of a cone is 1.2 mm and 0.5 mmrespectively. The height of the cone is 24 mm. What is the volume of frustum ofa cone? (Use $\pi$= 3).
Question 13 :
A bucket in the shape of a frustum with the top and bottom circle area is $120m^2$ and $280m^2$. The height of the bucket is $15$ m. Find its volume.<br/>
Question 14 :
A vessel is in the form of a frustum of a cone.Its radius at top end is 8 cm and the bottom end is 12 cm. Its height is 21 cm.Find the volume of the frustum cone.
Question 15 :
Fill in the blank$:$<br/>A curve that represents the cumulative frequency distribution of grouped data is called an ______.<br/>
