List of practice Questions

Find the length of the diagonal of a rectangle whose length is 35 cm and breadth is 12 cm.
Show that points A($-1, -1$), B($0, 1$), and C($1, 3$) are collinear.
A person is standing at a distance of 50 m from a temple looking at its top. The angle of elevation is $45^\circ$. Find the height of the temple.
In $\triangle ABC$, seg $AP$ is a median. If $BC = 18$, and $AB^2 + AC^2 = 260$, find $AP$.
In $\triangle RST$, $\angle S = 90^\circ$, $\angle T = 30^\circ$, and $RT = 12$ cm, then find $RS$.
If the radius of a circle is 5 cm, then find the length of the longest chord of the circle.
Find the distance between the points $O(0, 0)$ and $P(3, 4)$.
Show that, $\cot \theta + \tan \theta = \csc \theta \times \sec \theta$
Find the surface area of a sphere of radius 7 cm.
If $a$, $b$, $c$ are sides of a triangle and $a^2 + b^2 = c^2$, name the type of triangle:
Chords AB and CD of a circle intersect inside the circle at point E. If AE = 4, EB = 10, and CE = 8, then find ED:
Co-ordinates of origin are:
If the radius of the base of a cone is 7 cm and the height is 24 cm, find its slant height:
Match List I with List II
List I (Complex)List II (Hybridization)
A.Ni(CO)4I.sp3
B.[Cu(NH3)4]2+II.dsp2
C.[Fe(NH3)6]2+III.sp3d2
D.[Fe(H2O)6]2+IV.d2sp3
Choose the correct answer from the options given below:
What is the center of gravity of a semi-circular disc of radius (R)?

The aromatic compound/species with maximum number of x - electrons is

'चरम वैयक्तिकता ही परम सामाजिक है' - किस शीर्षक पाठ की पंक्ति है ?

अंतोन चेखव किस देश के रहने वाले थे ?

जयशंकर प्रसाद का निधन कब हुआ था ?

तुलसीदास का स्थायी निवास स्थान कहाँ था ?

'सूरदास का जन्म स्थान कहाँ है ?

'अशोक वाजपेयी किस काल के कवि हैं ?

'अधिनायक' कैसी कविता है ?

'हार-जीत' किस प्रकार की रचना है ?

'बालकृष्ण भट्ट की माता का क्या नाम है ?