SAT (Stage-1) M...

If sinα and cosα are the roots of equation ax² + bx + 1 = 0, then which of the following is true?

What is the equation of median on side AC of ΔABC whose vertices are A(-3, -2), B(-1, 1) and C(2, -2)?

In parallelogram ABCD, AB = 16 cm. The altitudes corresponding to the sides DC and AD are 8 cm and 10 cm, respectively. Find AD.

ΔLMN ~ ΔXYZ and ar(ΔXYZ) = 121 cm². If LM/XY = 7/11, then ar(∆LMN) is equal to

In the given figure, O is the centre of the circle and PQ is a tangent to the circle. What is the measure of ∠OBQ?

In the given figure, ABC is a right-angled triangle and BD ⊥ AC. Which of the following relationships is true?

If volume of a hemisphere is 144π m³, then what is its total surface area?

The lateral surface area and height of a prism whose base is an equilateral triangle, are 54 m² and 2√3 m, respectively. What is the area of the base of the prism?

A cylindrical vessel, whose radius is 6 cm, contains water. If a solid sphere of radius 3 cm is dipped into the vessel completely, then what is the rise in the water level in the vessel?

If cosec (α + β) = sec (α - β) = 2/√3, then what is the value of cot 2α?

What is the median of marks of 20 students in the following frequency distribution?

If the mean of the following frequency distribution is 14, then what is the value of P?

Four persons A, B, C and D marked four identical articles at Rs. 5000 each. A sold the article at a discount of 60%, B sold the article at two successive discounts of 60% and 20%, C sold the article at two successive discounts of 40% each and D sold the article at a discount of 70%. What was the descending order of selling prices for A, B, C and D?

A man can row a boat 20 km upstream in 2 hours and 40 km downstream in the same time. What is the ratio of speed of the stream and that of the boat in still water?

The number of terms between 30 and 530 which are divisible by 11 are