List of top Questions asked in UP Board X

(i) In how many steps, is impure metal obtained from concentrated sulphide ore?
If the roots of the equation $x^2+2(m-1)x+(m+5)=0$ are real and equal, find the value of $m$.
(iii) A refrigerator of 200 W is operated for 10 hours per day. Find out the cost of energy to operate it for 30 days at the rate of ₹6 per kWh.

The value of $\dfrac{1+\cot^2 \theta}{1+\tan^2 \theta}$ will be:
 

Range of clear vision of a normal eye is -
An object is placed on the axis of a concave lens of focal length 20 cm. Image is formed at a distance of 30 cm from the lens. The distance of object from lens will be -
Valency of atom C in C_6H_6 is

$PQ$ is a chord of length $4\ \text{cm}$ of a circle of radius $2.5\ \text{cm}$. The tangents at $P$ and $Q$ intersect at a point $T$. Find the length of $TP$.
 

(i) Show the image formation by a convex mirror by ray diagram when the object is at infinity and
(a) at infinity
(b) in between pole of the mirror and infinity
If $LCM(35, 63) = 315$, the $HCF(35, 63)$ will be:
(ii) Show ray diagram for the refraction of a light ray through a prism and point out the emergent angle and angle of deviation.
Prove that \(\displaystyle \frac{\sin A-\cos A+1}{\sin A+\cos A-1}=\frac{1}{\sec A-\tan A}\).
If point $Q(0,1)$ is equidistant from points $P(5,-3)$ and $R(x,6)$, find the values of $x$.
Two coils of copper wire are placed closer to each other. Due to change in the value of current in one coil, current starts to flow in the other coil. Reason for this phenomenon is -
(ii) What do you understand by Electrolytic refining? Explain with diagram.
(ii) What is the meaning of magnification produced by a lens? An object of length 5 cm is at a distance of 15 cm from a convex lens. Focal length of the lens is 10 cm. What will be the size of the image?
What was the impact of First World War on Indian economy and political condition? Write any two.
Area of sector of angle $\theta$ of a circle with radius $r$ will be:
If sum of first 9 terms of an $A.P.$ is $81$ and the sum of first $17$ terms is $289$, find its first term and the common difference.
(ii) Write the pH value of pure water.
When did Mahatma Gandhi come back to India?
The altitude of a right-angled triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides.
If the sum of first 7 terms of an A.P. is 49 and the sum of first 17 terms is 289, find the sum of first $n$ terms.

Two concentric circles are of radii $8\ \text{cm}$ and $5\ \text{cm}$. Find the length of the chord of the larger circle which touches (is tangent to) the smaller circle.
 

Find mean of the following frequency table: