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Prove that : (sin θ - cos θ + 1)/(sin θ + cos θ - 1) = 1/(sec θ - tan θ), using the identity sec² θ

Evaluate the following : (iii) cos 45°/sec 30° + cosec 30°

The filament of lamp is 80 cm from a screen and a converging lens forms an image of it on a screen

The coach of a cricket team buys 7 bats and 6 balls for Rs. 3800. Later, he buys 3 bats and 5 balls

Five years hence, the age of Jacob will be three times that of his son. Five years ago, Jacob's age

A lending library has a fixed charge for the first three days and additional charge for each day

2 women and 5 men can together finish an embroidery work in 4 days, while 3 women and 6 men can

The sum of the digits of two digit number is 9. Also, nine times this number is twice the number

Place A and B are 100 km apart on a highway. One car starts from A and another from B at the same

Akhila went to a fair in her village. She wanted to enjoy rides on the Giant Wheel and play Hoopla

Three bells tolls at the intervals of 9, 12, 15 minutes respectively. If they start tolling together

A boat covers 32 km upstream and 36 km downstream in 7 hours. Also, it covers 40 km upstream

A fraction becomes 9/11 if 2 is added to both numerator and denominator. If 3 is added to both

If m and n are the zeroes of the polynomial 3x² + 11x - 4, find the value of m/n+n/m.

If zeroes of the polynomial x²+4x+2a are α and 2/α, then find the value of a.

Find the zeroes of the following polynomial : 5√5x² + 30x + 8√5.

Solve the following pair of equations for x and y : 4x + 6/y = 15 and 6x - 8/y - 14

Places A and B are 80 km apart from each other on a highway. A car starts from A and another from

Solve the following pair of linear equations graphically : 2x+3y=12 and x-y=1. Find the area of the

Classify the following numbers as rational or irrational : √23

During a sale, color pencils were being sold in packs of 24 each and crayons in packs of 32 each. If

If the mean of first n natural numbers is 5n/9, then what is the value of n ?