MEDIUM
CAT
IMPORTANT
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Determine the value of k for which the quadratic equation 4x2 - 3kx + 1 = 0 has equal roots :

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Important Questions on Theory of Equations

MEDIUM
CAT
IMPORTANT
Quantum CAT Also Useful for XAT>Chapter 14 - SNAP>CMAT>Q 20
Find the value of k so that the sum of the roots of the quadratic equation is equal to the product of the roots (k+1)x2+2kx+4=0?
MEDIUM
CAT
IMPORTANT
Quantum CAT Also Useful for XAT>Chapter 14 - SNAP>CMAT>Q 21
If -4 is a root of the quadratic equation x2-px-4=0 and the quadratic equation x2-px+k=0 has equal roots, find the value of k :
MEDIUM
CAT
IMPORTANT
Quantum CAT Also Useful for XAT>Chapter 14 - SNAP>CMAT>Q 23
Find the value of p for which the quadratic equation x2 + p (4x + p - 1) + 2 = 0 has equal roots :
MEDIUM
CAT
IMPORTANT
Quantum CAT Also Useful for XAT>Chapter 14 - SNAP>CMAT>Q 32
If α,β are the roots of the equation 3x2-6x+4=0, find the value of α2β+β2α+αβ+βα+21α+1β+3αβ
EASY
CAT
IMPORTANT
Quantum CAT Also Useful for XAT>Chapter 14 - SNAP>CMAT>Q 35
The length of the hypotenuse of a right triangle exceeds the length of the base by 2 cm and exceeds twice the length of the altitude by 1 cm.Find the length of each side of the triangle.
MEDIUM
CAT
IMPORTANT
Quantum CAT Also Useful for XAT>Chapter 14 - SNAP>CMAT>Q 36
A two digit number is such that the product of its digits is 12. When 9 is addded to the number, the digits interchange their places, find the number:
MEDIUM
CAT
IMPORTANT
Quantum CAT Also Useful for XAT>Chapter 14 - SNAP>CMAT>Q 37
A plane left 40 minutes late due to bad weather and in order to reach its destination, 1600 km away in time, it had to increase its speed by 400 km/hr from its usual speed. Find the usual speed of the plane.
MEDIUM
CAT
IMPORTANT
Quantum CAT Also Useful for XAT>Chapter 14 - SNAP>CMAT>Q 38
The sum of the squares to two natural consecutive odd numbers is 290, then find the sum of the number.