A ladder leans against a vertical wall so that its top is 5 meters from the ground and the ladder makes a 30-degree angle with the wall. Calculate the length of the ladder.
Find the equation of a line that passes through the points (3, -5) and (7, 9). Determine the slope of the line and the coordinates of the point where it intersects the y-axis.
Indian electoral system aims at ensuring representation of socially
disadvantaged sections. However we have only 12 per cent women
members in our legislatures. What measures would you suggest to
improve the situation?
A person spends twice as much on rent as on food. If their total income is 20,000 rupees and they spend at least 10,000 rupees on rent and food, write a system of inequalities to represent this situation. Find the range of possible amounts spent on food.
Which of the following statements are incorrect? Identify and correct
them by substituting, adding or rearranging only one word or phrase.
a. FPTP system is followed for all the elections in India.
b. Election Commission does not supervise Panchayat and
Municipal elections.
c. President of India cannot remove an Election Commissioner.
d. Appointment of more than one Election Commissioner in the
Election Commission is mandatory.
What is the difference between the system of reservation of
constituencies and the system of separate electorate? Why did the
Constitution makers reject the latter?
In the First Past the Post system, that candidate is declared winner
who
a. Secures the largest number of postal ballots
b. Belongs to the party that has highest number of votes in the
country
c. Has more votes than any other candidate in the constituency
d. Attains first position by securing more than 50% votes
A point P is equidistant from points A (2, 3) and B (4, 7). Find the coordinates of point P if it lies on the line y = x.
A bag contains 3 red, 5 blue, and 7 green marbles. If two marbles are drawn one after another without replacement, what is the probability that both are of the same color?
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